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GCF of 908/64, 958/172

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 908/64, 958/172 i.e 2/2752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 908/64, 958/172.

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 908/64,958/172?

Given fractions are 908/64,958/172

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 908/64,958/172, numerators are 908,958

Denominators are 64,172

The GCF of 908,958 is 2 .

LCM of 64,172 is 2752.

The greatest common factor of 908/64,958/172 = [GCF of 908,958]/[LCM of 64,172]= 2/2752

Therefore, the GCF of 908/64,958/172 is 2/2752.

Greatest Common Factor of 908,958

To find the highest common factor of 908,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 908 are 1, 2, 4, 227, 454, 908

The factors of 958 are 1, 2, 479, 958

The HCF of 908,958 is 2.

Lets's calculate GCF of 908,958

Greatest Common Factor (GCF) of 908,958 By Common Division

2 908, 958
454, 479

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

Greatest Common Factor of 908,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 908,958 By Matching Biggest Common Factor Method

Now, list down the factors of 908

:

1,2,4,227,454,908

Now, list down the factors of 958

:

1,2,479,958

Greatest Common Factor

We found the factors 908,958 . The biggest common factor number is the GCF number.
So the greatest common factor 908,958 is 2.

Lets's calculate LCM of 64,172

Lowest Common Multiple of 64,172 using Common Division

2 64, 172
2 32, 86
16, 43

∴ So the LCM of the given numbers is 2 x 2 x 16 x 43 = 2752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2752

Therefore, the GCF of Fractions 908/64,958/172 is 2/2752

Least Common Multiple of 64,172 with GCF Formula

Least Common Multiple of 64,172 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 64,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,172) = 4

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

GCF(64,172) x common factors =4 x 1 = 4

LCM(64,172) = ( 64 × 172 ) / 4

LCM(64,172) = 11008 / 4

LCM(64,172) = 2752


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FAQs on GCF of Fractions of 908/64, 958/172

1. What is the HCF of 908,958?

The HCF of 908,958 is 2

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 908/64, 958/172?

Answer: GCF of Numerators as per given numbers 908/64, 958/172 is

GCF of Numerators i.e. for 908,958 is 2

LCM of denominators i.e. for 64,172 is 2752.

Thus, GCF of Fractions is 2/2752.Finally, GCF of Fractions for 908/64, 958/172 is 2/2752.