Greatest Common Factor of 7/56, 90/89, 73/710, 897/445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/56, 90/89, 73/710, 897/445

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 7/56,90/89,73/710,897/445

Given fractions are 7/56,90/89,73/710,897/445

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 7,90,73,897

Greatest Common Factor of Numerators i.e. GCF of 7,90,73,897 is 1 .

LCM of Denominators means LCM of 56,89,710,445 as per the given fractions.

LCM of 56,89,710,445 is 1769320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,90,73,897

GCF of Fractions 7/56,90/89,73/710,897/445 is 1/1769320

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

Greatest Common Factor of 7,90,73,897 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,90,73,897 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 897

List of positive integer factors of 897 that divides 897 without a remainder.

1,3,13,23,39,69,299,897

Greatest Common Factor

We found the factors 7,90,73,897 . The biggest common factor number is the GCF number.
So the greatest common factor 7,90,73,897 is 1.

Lets's calculate LCM of 56,89,710,445

2 56, 89, 710, 445
5 28, 89, 355, 445
89 28, 89, 71, 89
28, 1, 71, 1

∴ So the LCM of the given numbers is 2 x 5 x 89 x 28 x 1 x 71 x 1 = 1769320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1769320

Therefore, the GCF of Fractions 7/56,90/89,73/710,897/445 is 1/1769320

Least Common Multiple of 56,89,710,445 with GCF Formula

Least Common Multiple of 56,89,710,445 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 56,89,710,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,89,710,445) = 1

common factors(in case of two or more numbers have common factors) = 890

GCF(56,89,710,445) x common factors =1 x 890 = 890

LCM(56,89,710,445) = ( 56 × 89 × 710 × 445 ) / 890

LCM(56,89,710,445) = 1574694800 / 890

LCM(56,89,710,445) = 1769320


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, 90/89, 73/710, 897/445

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, 90/89, 73/710, 897/445?

Answer: GCF of Numerators as per given numbers 7/56, 90/89, 73/710, 897/445 is

GCF of Numerators i.e. for 7,90,73,897 is 1

LCM of denominators i.e. for 56,89,710,445 is 1769320.

Thus, GCF of Fractions is 1/1769320.Finally, GCF of Fractions for 7/56, 90/89, 73/710, 897/445 is 1/1769320.