Greatest Common Factor of 7/56, 45/90, 72/914, 824/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/56, 45/90, 72/914, 824/559

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 7/56,45/90,72/914,824/559

Given fractions are 7/56,45/90,72/914,824/559

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 7,45,72,824

Greatest Common Factor of Numerators i.e. GCF of 7,45,72,824 is 1 .

LCM of Denominators means LCM of 56,90,914,559 as per the given fractions.

LCM of 56,90,914,559 is 643766760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,45,72,824

GCF of Fractions 7/56,45/90,72/914,824/559 is 1/643766760

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

Greatest Common Factor of 7,45,72,824 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,45,72,824 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Greatest Common Factor

We found the factors 7,45,72,824 . The biggest common factor number is the GCF number.
So the greatest common factor 7,45,72,824 is 1.

Lets's calculate LCM of 56,90,914,559

2 56, 90, 914, 559
28, 45, 457, 559

∴ So the LCM of the given numbers is 2 x 28 x 45 x 457 x 559 = 643766760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643766760

Therefore, the GCF of Fractions 7/56,45/90,72/914,824/559 is 1/643766760

Least Common Multiple of 56,90,914,559 with GCF Formula

Least Common Multiple of 56,90,914,559 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 56,90,914,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,90,914,559) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(56,90,914,559) x common factors =1 x 4 = 4

LCM(56,90,914,559) = ( 56 × 90 × 914 × 559 ) / 4

LCM(56,90,914,559) = 2575067040 / 4

LCM(56,90,914,559) = 643766760


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 7/56, 45/90, 72/914, 824/559

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 7/56, 45/90, 72/914, 824/559?

Answer: GCF of Numerators as per given numbers 7/56, 45/90, 72/914, 824/559 is

GCF of Numerators i.e. for 7,45,72,824 is 1

LCM of denominators i.e. for 56,90,914,559 is 643766760.

Thus, GCF of Fractions is 1/643766760.Finally, GCF of Fractions for 7/56, 45/90, 72/914, 824/559 is 1/643766760.