Greatest Common Factor of 5831/747, 7420/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5831/747, 7420/428

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 5831/747,7420/428

Given fractions are 5831/747,7420/428

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 5831,7420

Greatest Common Factor of Numerators i.e. GCF of 5831,7420 is 7 .

LCM of Denominators means LCM of 747,428 as per the given fractions.

LCM of 747,428 is 319716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5831,7420

GCF of Fractions 5831/747,7420/428 is 7/319716

7 5831, 7420
833, 1060

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 5831,7420 By Matching Biggest Common Factor Method

Greatest Common Factor of 5831,7420 By Matching Biggest Common Factor Method

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1,7,17,49,119,343,833,5831

Factors of 7420

List of positive integer factors of 7420 that divides 7420 without a remainder.

1,2,4,5,7,10,14,20,28,35,53,70,106,140,212,265,371,530,742,1060,1484,1855,3710,7420

Greatest Common Factor

We found the factors 5831,7420 . The biggest common factor number is the GCF number.
So the greatest common factor 5831,7420 is 7.

Lets's calculate LCM of 747,428

Given numbers has no common factors except 1. So, there LCM is their product i.e 319716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/319716

Therefore, the GCF of Fractions 5831/747,7420/428 is 7/319716

Least Common Multiple of 747,428 with GCF Formula

Least Common Multiple of 747,428 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 747,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(747,428) = 1

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

GCF(747,428) x common factors =1 x 1 = 1

LCM(747,428) = ( 747 × 428 ) / 1

LCM(747,428) = 319716 / 1

LCM(747,428) = 319716


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 5831/747, 7420/428

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 5831/747, 7420/428?

Answer: GCF of Numerators as per given numbers 5831/747, 7420/428 is

GCF of Numerators i.e. for 5831,7420 is 7

LCM of denominators i.e. for 747,428 is 319716.

Thus, GCF of Fractions is 7/319716.Finally, GCF of Fractions for 5831/747, 7420/428 is 7/319716.