Greatest Common Factor of 7283/53, 8792/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7283/53, 8792/725

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 7283/53,8792/725

Given fractions are 7283/53,8792/725

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 7283,8792

Greatest Common Factor of Numerators i.e. GCF of 7283,8792 is 1 .

LCM of Denominators means LCM of 53,725 as per the given fractions.

LCM of 53,725 is 38425 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7283,8792

GCF of Fractions 7283/53,8792/725 is 1/38425

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

Greatest Common Factor of 7283,8792 By Matching Biggest Common Factor Method

Greatest Common Factor of 7283,8792 By Matching Biggest Common Factor Method

Factors of 7283

List of positive integer factors of 7283 that divides 7283 without a remainder.

1,7283

Factors of 8792

List of positive integer factors of 8792 that divides 8792 without a remainder.

1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792

Greatest Common Factor

We found the factors 7283,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 7283,8792 is 1.

Lets's calculate LCM of 53,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 38425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38425

Therefore, the GCF of Fractions 7283/53,8792/725 is 1/38425

Least Common Multiple of 53,725 with GCF Formula

Least Common Multiple of 53,725 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 53,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,725) = 1

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

GCF(53,725) x common factors =1 x 1 = 1

LCM(53,725) = ( 53 × 725 ) / 1

LCM(53,725) = 38425 / 1

LCM(53,725) = 38425


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 7283/53, 8792/725

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 7283/53, 8792/725?

Answer: GCF of Numerators as per given numbers 7283/53, 8792/725 is

GCF of Numerators i.e. for 7283,8792 is 1

LCM of denominators i.e. for 53,725 is 38425.

Thus, GCF of Fractions is 1/38425.Finally, GCF of Fractions for 7283/53, 8792/725 is 1/38425.