Greatest Common Factor of 69/84, 76/60, 906/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/84, 76/60, 906/457

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 69/84,76/60,906/457

Given fractions are 69/84,76/60,906/457

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 69,76,906

Greatest Common Factor of Numerators i.e. GCF of 69,76,906 is 1 .

LCM of Denominators means LCM of 84,60,457 as per the given fractions.

LCM of 84,60,457 is 191940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,76,906

GCF of Fractions 69/84,76/60,906/457 is 1/191940

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

Greatest Common Factor of 69,76,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,76,906 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 69,76,906 . The biggest common factor number is the GCF number.
So the greatest common factor 69,76,906 is 1.

Lets's calculate LCM of 84,60,457

2 84, 60, 457
2 42, 30, 457
3 21, 15, 457
7, 5, 457

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 457 = 191940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/191940

Therefore, the GCF of Fractions 69/84,76/60,906/457 is 1/191940

Least Common Multiple of 84,60,457 with GCF Formula

Least Common Multiple of 84,60,457 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 84,60,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,60,457) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,60,457) x common factors =1 x 12 = 12

LCM(84,60,457) = ( 84 × 60 × 457 ) / 12

LCM(84,60,457) = 2303280 / 12

LCM(84,60,457) = 191940


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 69/84, 76/60, 906/457

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 69/84, 76/60, 906/457?

Answer: GCF of Numerators as per given numbers 69/84, 76/60, 906/457 is

GCF of Numerators i.e. for 69,76,906 is 1

LCM of denominators i.e. for 84,60,457 is 191940.

Thus, GCF of Fractions is 1/191940.Finally, GCF of Fractions for 69/84, 76/60, 906/457 is 1/191940.