Greatest Common Factor of 5708/689, 7392/1069

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5708/689, 7392/1069

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 5708/689,7392/1069

Given fractions are 5708/689,7392/1069

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 5708,7392

Greatest Common Factor of Numerators i.e. GCF of 5708,7392 is 4 .

LCM of Denominators means LCM of 689,1069 as per the given fractions.

LCM of 689,1069 is 736541 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5708,7392

GCF of Fractions 5708/689,7392/1069 is 4/736541

2 5708, 7392
2 2854, 3696
1427, 1848

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

Greatest Common Factor of 5708,7392 By Matching Biggest Common Factor Method

Greatest Common Factor of 5708,7392 By Matching Biggest Common Factor Method

Factors of 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1,2,4,1427,2854,5708

Factors of 7392

List of positive integer factors of 7392 that divides 7392 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392

Greatest Common Factor

We found the factors 5708,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 5708,7392 is 4.

Lets's calculate LCM of 689,1069

Given numbers has no common factors except 1. So, there LCM is their product i.e 736541

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/736541

Therefore, the GCF of Fractions 5708/689,7392/1069 is 4/736541

Least Common Multiple of 689,1069 with GCF Formula

Least Common Multiple of 689,1069 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 689,1069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,1069) = 1

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

GCF(689,1069) x common factors =1 x 1 = 1

LCM(689,1069) = ( 689 × 1069 ) / 1

LCM(689,1069) = 736541 / 1

LCM(689,1069) = 736541


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 5708/689, 7392/1069

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 5708/689, 7392/1069?

Answer: GCF of Numerators as per given numbers 5708/689, 7392/1069 is

GCF of Numerators i.e. for 5708,7392 is 4

LCM of denominators i.e. for 689,1069 is 736541.

Thus, GCF of Fractions is 4/736541.Finally, GCF of Fractions for 5708/689, 7392/1069 is 4/736541.