Greatest Common Factor of 5312/962, 7429/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5312/962, 7429/562

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 5312/962,7429/562

Given fractions are 5312/962,7429/562

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 5312,7429

Greatest Common Factor of Numerators i.e. GCF of 5312,7429 is 1 .

LCM of Denominators means LCM of 962,562 as per the given fractions.

LCM of 962,562 is 270322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5312,7429

GCF of Fractions 5312/962,7429/562 is 1/270322

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5312,7429 By Matching Biggest Common Factor Method

Greatest Common Factor of 5312,7429 By Matching Biggest Common Factor Method

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312

Factors of 7429

List of positive integer factors of 7429 that divides 7429 without a remainder.

1,17,19,23,323,391,437,7429

Greatest Common Factor

We found the factors 5312,7429 . The biggest common factor number is the GCF number.
So the greatest common factor 5312,7429 is 1.

Lets's calculate LCM of 962,562

2 962, 562
481, 281

∴ So the LCM of the given numbers is 2 x 481 x 281 = 270322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/270322

Therefore, the GCF of Fractions 5312/962,7429/562 is 1/270322

Least Common Multiple of 962,562 with GCF Formula

Least Common Multiple of 962,562 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 962,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,562) = 2

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

GCF(962,562) x common factors =2 x 1 = 2

LCM(962,562) = ( 962 × 562 ) / 2

LCM(962,562) = 540644 / 2

LCM(962,562) = 270322


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5312/962, 7429/562

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 5312/962, 7429/562?

Answer: GCF of Numerators as per given numbers 5312/962, 7429/562 is

GCF of Numerators i.e. for 5312,7429 is 1

LCM of denominators i.e. for 962,562 is 270322.

Thus, GCF of Fractions is 1/270322.Finally, GCF of Fractions for 5312/962, 7429/562 is 1/270322.