Greatest Common Factor of 882/7526, 231/7125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/7526, 231/7125

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 882/7526,231/7125

Given fractions are 882/7526,231/7125

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 882,231

Greatest Common Factor of Numerators i.e. GCF of 882,231 is 21 .

LCM of Denominators means LCM of 7526,7125 as per the given fractions.

LCM of 7526,7125 is 53622750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,231

GCF of Fractions 882/7526,231/7125 is 21/53622750

3 882, 231
7 294, 77
42, 11

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 882,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,231 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 882,231 . The biggest common factor number is the GCF number.
So the greatest common factor 882,231 is 21.

Lets's calculate LCM of 7526,7125

Given numbers has no common factors except 1. So, there LCM is their product i.e 53622750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/53622750

Therefore, the GCF of Fractions 882/7526,231/7125 is 21/53622750

Least Common Multiple of 7526,7125 with GCF Formula

Least Common Multiple of 7526,7125 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 7526,7125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7526,7125) = 1

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

GCF(7526,7125) x common factors =1 x 1 = 1

LCM(7526,7125) = ( 7526 × 7125 ) / 1

LCM(7526,7125) = 53622750 / 1

LCM(7526,7125) = 53622750


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 882/7526, 231/7125

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 882/7526, 231/7125?

Answer: GCF of Numerators as per given numbers 882/7526, 231/7125 is

GCF of Numerators i.e. for 882,231 is 21

LCM of denominators i.e. for 7526,7125 is 53622750.

Thus, GCF of Fractions is 21/53622750.Finally, GCF of Fractions for 882/7526, 231/7125 is 21/53622750.