Greatest Common Factor of 5772/731, 8248/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5772/731, 8248/831

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 5772/731,8248/831

Given fractions are 5772/731,8248/831

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 5772,8248

Greatest Common Factor of Numerators i.e. GCF of 5772,8248 is 4 .

LCM of Denominators means LCM of 731,831 as per the given fractions.

LCM of 731,831 is 607461 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5772,8248

GCF of Fractions 5772/731,8248/831 is 4/607461

2 5772, 8248
2 2886, 4124
1443, 2062

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

Greatest Common Factor of 5772,8248 By Matching Biggest Common Factor Method

Greatest Common Factor of 5772,8248 By Matching Biggest Common Factor Method

Factors of 5772

List of positive integer factors of 5772 that divides 5772 without a remainder.

1,2,3,4,6,12,13,26,37,39,52,74,78,111,148,156,222,444,481,962,1443,1924,2886,5772

Factors of 8248

List of positive integer factors of 8248 that divides 8248 without a remainder.

1,2,4,8,1031,2062,4124,8248

Greatest Common Factor

We found the factors 5772,8248 . The biggest common factor number is the GCF number.
So the greatest common factor 5772,8248 is 4.

Lets's calculate LCM of 731,831

Given numbers has no common factors except 1. So, there LCM is their product i.e 607461

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/607461

Therefore, the GCF of Fractions 5772/731,8248/831 is 4/607461

Least Common Multiple of 731,831 with GCF Formula

Least Common Multiple of 731,831 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 731,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,831) = 1

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

GCF(731,831) x common factors =1 x 1 = 1

LCM(731,831) = ( 731 × 831 ) / 1

LCM(731,831) = 607461 / 1

LCM(731,831) = 607461


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 5772/731, 8248/831

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 5772/731, 8248/831?

Answer: GCF of Numerators as per given numbers 5772/731, 8248/831 is

GCF of Numerators i.e. for 5772,8248 is 4

LCM of denominators i.e. for 731,831 is 607461.

Thus, GCF of Fractions is 4/607461.Finally, GCF of Fractions for 5772/731, 8248/831 is 4/607461.