Greatest Common Factor of 5366/770, 5664/4139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5366/770, 5664/4139

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 5366/770,5664/4139

Given fractions are 5366/770,5664/4139

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 5366,5664

Greatest Common Factor of Numerators i.e. GCF of 5366,5664 is 2 .

LCM of Denominators means LCM of 770,4139 as per the given fractions.

LCM of 770,4139 is 3187030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5366,5664

GCF of Fractions 5366/770,5664/4139 is 2/3187030

2 5366, 5664
2683, 2832

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

Greatest Common Factor of 5366,5664 By Matching Biggest Common Factor Method

Greatest Common Factor of 5366,5664 By Matching Biggest Common Factor Method

Factors of 5366

List of positive integer factors of 5366 that divides 5366 without a remainder.

1,2,2683,5366

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Greatest Common Factor

We found the factors 5366,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 5366,5664 is 2.

Lets's calculate LCM of 770,4139

Given numbers has no common factors except 1. So, there LCM is their product i.e 3187030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3187030

Therefore, the GCF of Fractions 5366/770,5664/4139 is 2/3187030

Least Common Multiple of 770,4139 with GCF Formula

Least Common Multiple of 770,4139 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 770,4139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(770,4139) = 1

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

GCF(770,4139) x common factors =1 x 1 = 1

LCM(770,4139) = ( 770 × 4139 ) / 1

LCM(770,4139) = 3187030 / 1

LCM(770,4139) = 3187030


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 5366/770, 5664/4139

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 5366/770, 5664/4139?

Answer: GCF of Numerators as per given numbers 5366/770, 5664/4139 is

GCF of Numerators i.e. for 5366,5664 is 2

LCM of denominators i.e. for 770,4139 is 3187030.

Thus, GCF of Fractions is 2/3187030.Finally, GCF of Fractions for 5366/770, 5664/4139 is 2/3187030.