Greatest Common Factor of 902/89, 441/76, 712/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 902/89, 441/76, 712/342

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 902/89,441/76,712/342

Given fractions are 902/89,441/76,712/342

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 902,441,712

Greatest Common Factor of Numerators i.e. GCF of 902,441,712 is 1 .

LCM of Denominators means LCM of 89,76,342 as per the given fractions.

LCM of 89,76,342 is 60876 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 902,441,712

GCF of Fractions 902/89,441/76,712/342 is 1/60876

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

Greatest Common Factor of 902,441,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 902,441,712 By Matching Biggest Common Factor Method

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 902,441,712 . The biggest common factor number is the GCF number.
So the greatest common factor 902,441,712 is 1.

Lets's calculate LCM of 89,76,342

2 89, 76, 342
19 89, 38, 171
89, 2, 9

∴ So the LCM of the given numbers is 2 x 19 x 89 x 2 x 9 = 60876

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60876

Therefore, the GCF of Fractions 902/89,441/76,712/342 is 1/60876

Least Common Multiple of 89,76,342 with GCF Formula

Least Common Multiple of 89,76,342 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 89,76,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,76,342) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(89,76,342) x common factors =1 x 38 = 38

LCM(89,76,342) = ( 89 × 76 × 342 ) / 38

LCM(89,76,342) = 2313288 / 38

LCM(89,76,342) = 60876


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 902/89, 441/76, 712/342

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 902/89, 441/76, 712/342?

Answer: GCF of Numerators as per given numbers 902/89, 441/76, 712/342 is

GCF of Numerators i.e. for 902,441,712 is 1

LCM of denominators i.e. for 89,76,342 is 60876.

Thus, GCF of Fractions is 1/60876.Finally, GCF of Fractions for 902/89, 441/76, 712/342 is 1/60876.