Greatest Common Factor of 336/971, 474/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 336/971, 474/561

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 336/971,474/561

Given fractions are 336/971,474/561

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 336,474

Greatest Common Factor of Numerators i.e. GCF of 336,474 is 6 .

LCM of Denominators means LCM of 971,561 as per the given fractions.

LCM of 971,561 is 544731 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,474

GCF of Fractions 336/971,474/561 is 6/544731

2 336, 474
3 168, 237
56, 79

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 336,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,474 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 336,474 . The biggest common factor number is the GCF number.
So the greatest common factor 336,474 is 6.

Lets's calculate LCM of 971,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 544731

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/544731

Therefore, the GCF of Fractions 336/971,474/561 is 6/544731

Least Common Multiple of 971,561 with GCF Formula

Least Common Multiple of 971,561 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 971,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,561) = 1

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

GCF(971,561) x common factors =1 x 1 = 1

LCM(971,561) = ( 971 × 561 ) / 1

LCM(971,561) = 544731 / 1

LCM(971,561) = 544731


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 336/971, 474/561

1. 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.

2. What is the GCF of Fractions for 336/971, 474/561?

Answer: GCF of Numerators as per given numbers 336/971, 474/561 is

GCF of Numerators i.e. for 336,474 is 6

LCM of denominators i.e. for 971,561 is 544731.

Thus, GCF of Fractions is 6/544731.Finally, GCF of Fractions for 336/971, 474/561 is 6/544731.