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GCF of 952/130, 964/738

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 952/130, 964/738 i.e 4/47970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/130, 964/738.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 952/130,964/738?

Given fractions are 952/130,964/738

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 952/130,964/738, numerators are 952,964

Denominators are 130,738

The GCF of 952,964 is 4 .

LCM of 130,738 is 47970.

The greatest common factor of 952/130,964/738 = [GCF of 952,964]/[LCM of 130,738]= 4/47970

Therefore, the GCF of 952/130,964/738 is 4/47970.

Greatest Common Factor of 952,964

To find the highest common factor of 952,964, we have to find the factors of both numbers and list the highest common factor.

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The factors of 964 are 1, 2, 4, 241, 482, 964

The HCF of 952,964 is 4.

Lets's calculate GCF of 952,964

Greatest Common Factor (GCF) of 952,964 By Common Division

2 952, 964
2 476, 482
238, 241

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 952,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,964 By Matching Biggest Common Factor Method

Now, list down the factors of 952

:

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Now, list down the factors of 964

:

1,2,4,241,482,964

Greatest Common Factor

We found the factors 952,964 . The biggest common factor number is the GCF number.
So the greatest common factor 952,964 is 4.

Lets's calculate LCM of 130,738

Lowest Common Multiple of 130,738 using Common Division

2 130, 738
65, 369

∴ So the LCM of the given numbers is 2 x 65 x 369 = 47970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47970

Therefore, the GCF of Fractions 952/130,964/738 is 4/47970

Least Common Multiple of 130,738 with GCF Formula

Least Common Multiple of 130,738 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 130,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,738) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(130,738) x common factors =2 x 1 = 2

LCM(130,738) = ( 130 × 738 ) / 2

LCM(130,738) = 95940 / 2

LCM(130,738) = 47970


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FAQs on GCF of Fractions of 952/130, 964/738

1. What is the HCF of 952,964?

The HCF of 952,964 is 4

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 952/130, 964/738?

Answer: GCF of Numerators as per given numbers 952/130, 964/738 is

GCF of Numerators i.e. for 952,964 is 4

LCM of denominators i.e. for 130,738 is 47970.

Thus, GCF of Fractions is 4/47970.Finally, GCF of Fractions for 952/130, 964/738 is 4/47970.