What is the HCF / GCF of 120, 180 and 190
in prime factorisation method
120 = 10 x 3 x 2 x 2
180 = 10 x 3 x 3 x 2
190 = 10 x 19
the HCF (highest common factor) is 10
I don't know what you mean by GCF,
to me it would mean "greatest common factor" which is the same as the HCF
Did you mean GCM, (greatest common multiple ?)
then it would be
10x3x3x2x2x19 or 6840
so for HCF/GCM = 10/6840 = 1/684
- I don't see why you would ever need that fraction.
actually, 6840 is the Least common multiple. There is no greatest multiple.
To find the Highest Common Factor (HCF) or Greatest Common Factor (GCF) of three numbers (120, 180, and 190) using prime factorization method, you need to:
Step 1: Prime factorize each number.
Step 2: Identify the common prime factors.
Step 3: Multiply the common prime factors to find the HCF / GCF.
Let's calculate the HCF / GCF step by step:
Step 1: Prime factorization of 120:
- 120 = 2 * 2 * 2 * 3 * 5
- The prime factors of 120 are 2, 2, 2, 3, and 5.
Step 2: Prime factorization of 180:
- 180 = 2 * 2 * 3 * 3 * 5
- The prime factors of 180 are 2, 2, 3, 3, and 5.
Step 3: Prime factorization of 190:
- 190 = 2 * 5 * 19
- The prime factors of 190 are 2, 5, and 19.
Step 4: Identifying the common prime factors:
The common prime factors among 120, 180, and 190 are 2 and 5.
Step 5: Multiply the common prime factors:
The HCF / GCF of 120, 180, and 190 = 2 * 5 = 10.
Therefore, the HCF / GCF of 120, 180, and 190 using the prime factorization method is 10.
To find the Highest Common Factor (HCF), also known as the Greatest Common Factor (GCF), using the prime factorization method, you need to follow these steps:
Step 1: Prime factorize each number.
Step 2: Identify the common prime factors.
Step 3: Multiply the common prime factors.
Let's find the HCF of 120, 180, and 190 using the prime factorization method:
Step 1: Prime factorize each number:
- 120 = 2^3 * 3 * 5
- 180 = 2^2 * 3^2 * 5
- 190 = 2 * 5 * 19
Step 2: Identify the common prime factors. The common prime factors are 2 and 5.
Step 3: Multiply the common prime factors: 2 * 5 = 10
Therefore, the HCF/GCF of 120, 180, and 190 is 10.