Greatest Common Factor of 8764/356, 5213/2153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8764/356, 5213/2153

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 8764/356,5213/2153

Given fractions are 8764/356,5213/2153

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 8764,5213

Greatest Common Factor of Numerators i.e. GCF of 8764,5213 is 1 .

LCM of Denominators means LCM of 356,2153 as per the given fractions.

LCM of 356,2153 is 766468 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8764,5213

GCF of Fractions 8764/356,5213/2153 is 1/766468

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8764,5213 By Matching Biggest Common Factor Method

Greatest Common Factor of 8764,5213 By Matching Biggest Common Factor Method

Factors of 8764

List of positive integer factors of 8764 that divides 8764 without a remainder.

1,2,4,7,14,28,313,626,1252,2191,4382,8764

Factors of 5213

List of positive integer factors of 5213 that divides 5213 without a remainder.

1,13,401,5213

Greatest Common Factor

We found the factors 8764,5213 . The biggest common factor number is the GCF number.
So the greatest common factor 8764,5213 is 1.

Lets's calculate LCM of 356,2153

Given numbers has no common factors except 1. So, there LCM is their product i.e 766468

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/766468

Therefore, the GCF of Fractions 8764/356,5213/2153 is 1/766468

Least Common Multiple of 356,2153 with GCF Formula

Least Common Multiple of 356,2153 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 356,2153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,2153) = 1

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

GCF(356,2153) x common factors =1 x 1 = 1

LCM(356,2153) = ( 356 × 2153 ) / 1

LCM(356,2153) = 766468 / 1

LCM(356,2153) = 766468


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 8764/356, 5213/2153

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 8764/356, 5213/2153?

Answer: GCF of Numerators as per given numbers 8764/356, 5213/2153 is

GCF of Numerators i.e. for 8764,5213 is 1

LCM of denominators i.e. for 356,2153 is 766468.

Thus, GCF of Fractions is 1/766468.Finally, GCF of Fractions for 8764/356, 5213/2153 is 1/766468.