Greatest Common Factor of 12/77, 25/89, 826/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 12/77, 25/89, 826/761

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 12/77,25/89,826/761

Given fractions are 12/77,25/89,826/761

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 12,25,826

Greatest Common Factor of Numerators i.e. GCF of 12,25,826 is 1 .

LCM of Denominators means LCM of 77,89,761 as per the given fractions.

LCM of 77,89,761 is 5215133 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 12,25,826

GCF of Fractions 12/77,25/89,826/761 is 1/5215133

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

Greatest Common Factor of 12,25,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,25,826 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 12,25,826 . The biggest common factor number is the GCF number.
So the greatest common factor 12,25,826 is 1.

Lets's calculate LCM of 77,89,761

Given numbers has no common factors except 1. So, there LCM is their product i.e 5215133

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5215133

Therefore, the GCF of Fractions 12/77,25/89,826/761 is 1/5215133

Least Common Multiple of 77,89,761 with GCF Formula

Least Common Multiple of 77,89,761 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 77,89,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,89,761) = 1

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

GCF(77,89,761) x common factors =1 x 1 = 1

LCM(77,89,761) = ( 77 × 89 × 761 ) / 1

LCM(77,89,761) = 5215133 / 1

LCM(77,89,761) = 5215133


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 12/77, 25/89, 826/761

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 12/77, 25/89, 826/761?

Answer: GCF of Numerators as per given numbers 12/77, 25/89, 826/761 is

GCF of Numerators i.e. for 12,25,826 is 1

LCM of denominators i.e. for 77,89,761 is 5215133.

Thus, GCF of Fractions is 1/5215133.Finally, GCF of Fractions for 12/77, 25/89, 826/761 is 1/5215133.