Greatest Common Factor of 7284/880, 2353/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7284/880, 2353/562

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 7284/880,2353/562

Given fractions are 7284/880,2353/562

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 7284,2353

Greatest Common Factor of Numerators i.e. GCF of 7284,2353 is 1 .

LCM of Denominators means LCM of 880,562 as per the given fractions.

LCM of 880,562 is 247280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7284,2353

GCF of Fractions 7284/880,2353/562 is 1/247280

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

Greatest Common Factor of 7284,2353 By Matching Biggest Common Factor Method

Greatest Common Factor of 7284,2353 By Matching Biggest Common Factor Method

Factors of 7284

List of positive integer factors of 7284 that divides 7284 without a remainder.

1,2,3,4,6,12,607,1214,1821,2428,3642,7284

Factors of 2353

List of positive integer factors of 2353 that divides 2353 without a remainder.

1,13,181,2353

Greatest Common Factor

We found the factors 7284,2353 . The biggest common factor number is the GCF number.
So the greatest common factor 7284,2353 is 1.

Lets's calculate LCM of 880,562

2 880, 562
440, 281

∴ So the LCM of the given numbers is 2 x 440 x 281 = 247280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247280

Therefore, the GCF of Fractions 7284/880,2353/562 is 1/247280

Least Common Multiple of 880,562 with GCF Formula

Least Common Multiple of 880,562 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 880,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,562) = 2

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

GCF(880,562) x common factors =2 x 1 = 2

LCM(880,562) = ( 880 × 562 ) / 2

LCM(880,562) = 494560 / 2

LCM(880,562) = 247280


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 7284/880, 2353/562

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 7284/880, 2353/562?

Answer: GCF of Numerators as per given numbers 7284/880, 2353/562 is

GCF of Numerators i.e. for 7284,2353 is 1

LCM of denominators i.e. for 880,562 is 247280.

Thus, GCF of Fractions is 1/247280.Finally, GCF of Fractions for 7284/880, 2353/562 is 1/247280.