Greatest Common Factor of 5494/215, 2521/8470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5494/215, 2521/8470

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 5494/215,2521/8470

Given fractions are 5494/215,2521/8470

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 5494,2521

Greatest Common Factor of Numerators i.e. GCF of 5494,2521 is 1 .

LCM of Denominators means LCM of 215,8470 as per the given fractions.

LCM of 215,8470 is 364210 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5494,2521

GCF of Fractions 5494/215,2521/8470 is 1/364210

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

Greatest Common Factor of 5494,2521 By Matching Biggest Common Factor Method

Greatest Common Factor of 5494,2521 By Matching Biggest Common Factor Method

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Factors of 2521

List of positive integer factors of 2521 that divides 2521 without a remainder.

1,2521

Greatest Common Factor

We found the factors 5494,2521 . The biggest common factor number is the GCF number.
So the greatest common factor 5494,2521 is 1.

Lets's calculate LCM of 215,8470

5 215, 8470
43, 1694

∴ So the LCM of the given numbers is 5 x 43 x 1694 = 364210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364210

Therefore, the GCF of Fractions 5494/215,2521/8470 is 1/364210

Least Common Multiple of 215,8470 with GCF Formula

Least Common Multiple of 215,8470 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 215,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,8470) = 5

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

GCF(215,8470) x common factors =5 x 1 = 5

LCM(215,8470) = ( 215 × 8470 ) / 5

LCM(215,8470) = 1821050 / 5

LCM(215,8470) = 364210


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 5494/215, 2521/8470

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 5494/215, 2521/8470?

Answer: GCF of Numerators as per given numbers 5494/215, 2521/8470 is

GCF of Numerators i.e. for 5494,2521 is 1

LCM of denominators i.e. for 215,8470 is 364210.

Thus, GCF of Fractions is 1/364210.Finally, GCF of Fractions for 5494/215, 2521/8470 is 1/364210.