Greatest Common Factor of 7/66, 71/73, 54/607, 767/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/66, 71/73, 54/607, 767/723

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 7/66,71/73,54/607,767/723

Given fractions are 7/66,71/73,54/607,767/723

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 7,71,54,767

Greatest Common Factor of Numerators i.e. GCF of 7,71,54,767 is 1 .

LCM of Denominators means LCM of 66,73,607,723 as per the given fractions.

LCM of 66,73,607,723 is 704810766 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,71,54,767

GCF of Fractions 7/66,71/73,54/607,767/723 is 1/704810766

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

Greatest Common Factor of 7,71,54,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,71,54,767 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 7,71,54,767 . The biggest common factor number is the GCF number.
So the greatest common factor 7,71,54,767 is 1.

Lets's calculate LCM of 66,73,607,723

3 66, 73, 607, 723
22, 73, 607, 241

∴ So the LCM of the given numbers is 3 x 22 x 73 x 607 x 241 = 704810766

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/704810766

Therefore, the GCF of Fractions 7/66,71/73,54/607,767/723 is 1/704810766

Least Common Multiple of 66,73,607,723 with GCF Formula

Least Common Multiple of 66,73,607,723 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 66,73,607,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,73,607,723) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,73,607,723) x common factors =1 x 3 = 3

LCM(66,73,607,723) = ( 66 × 73 × 607 × 723 ) / 3

LCM(66,73,607,723) = 2114432298 / 3

LCM(66,73,607,723) = 704810766


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 7/66, 71/73, 54/607, 767/723

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 7/66, 71/73, 54/607, 767/723?

Answer: GCF of Numerators as per given numbers 7/66, 71/73, 54/607, 767/723 is

GCF of Numerators i.e. for 7,71,54,767 is 1

LCM of denominators i.e. for 66,73,607,723 is 704810766.

Thus, GCF of Fractions is 1/704810766.Finally, GCF of Fractions for 7/66, 71/73, 54/607, 767/723 is 1/704810766.