Greatest Common Factor of 8945/464, 5340/5713

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8945/464, 5340/5713

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 8945/464,5340/5713

Given fractions are 8945/464,5340/5713

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 8945,5340

Greatest Common Factor of Numerators i.e. GCF of 8945,5340 is 5 .

LCM of Denominators means LCM of 464,5713 as per the given fractions.

LCM of 464,5713 is 91408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8945,5340

GCF of Fractions 8945/464,5340/5713 is 5/91408

5 8945, 5340
1789, 1068

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8945,5340 By Matching Biggest Common Factor Method

Greatest Common Factor of 8945,5340 By Matching Biggest Common Factor Method

Factors of 8945

List of positive integer factors of 8945 that divides 8945 without a remainder.

1,5,1789,8945

Factors of 5340

List of positive integer factors of 5340 that divides 5340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,89,178,267,356,445,534,890,1068,1335,1780,2670,5340

Greatest Common Factor

We found the factors 8945,5340 . The biggest common factor number is the GCF number.
So the greatest common factor 8945,5340 is 5.

Lets's calculate LCM of 464,5713

29 464, 5713
16, 197

∴ So the LCM of the given numbers is 29 x 16 x 197 = 91408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/91408

Therefore, the GCF of Fractions 8945/464,5340/5713 is 5/91408

Least Common Multiple of 464,5713 with GCF Formula

Least Common Multiple of 464,5713 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 464,5713 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,5713) = 29

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

GCF(464,5713) x common factors =29 x 1 = 29

LCM(464,5713) = ( 464 × 5713 ) / 29

LCM(464,5713) = 2650832 / 29

LCM(464,5713) = 91408


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 8945/464, 5340/5713

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 8945/464, 5340/5713?

Answer: GCF of Numerators as per given numbers 8945/464, 5340/5713 is

GCF of Numerators i.e. for 8945,5340 is 5

LCM of denominators i.e. for 464,5713 is 91408.

Thus, GCF of Fractions is 5/91408.Finally, GCF of Fractions for 8945/464, 5340/5713 is 5/91408.