Greatest Common Factor of 827/465, 240/139, 553/921

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 827/465, 240/139, 553/921

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 827/465,240/139,553/921

Given fractions are 827/465,240/139,553/921

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 827,240,553

Greatest Common Factor of Numerators i.e. GCF of 827,240,553 is 1 .

LCM of Denominators means LCM of 465,139,921 as per the given fractions.

LCM of 465,139,921 is 19842945 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 827,240,553

GCF of Fractions 827/465,240/139,553/921 is 1/19842945

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

Greatest Common Factor of 827,240,553 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,240,553 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Greatest Common Factor

We found the factors 827,240,553 . The biggest common factor number is the GCF number.
So the greatest common factor 827,240,553 is 1.

Lets's calculate LCM of 465,139,921

3 465, 139, 921
155, 139, 307

∴ So the LCM of the given numbers is 3 x 155 x 139 x 307 = 19842945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19842945

Therefore, the GCF of Fractions 827/465,240/139,553/921 is 1/19842945

Least Common Multiple of 465,139,921 with GCF Formula

Least Common Multiple of 465,139,921 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 465,139,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,139,921) = 1

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

GCF(465,139,921) x common factors =1 x 3 = 3

LCM(465,139,921) = ( 465 × 139 × 921 ) / 3

LCM(465,139,921) = 59528835 / 3

LCM(465,139,921) = 19842945


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 827/465, 240/139, 553/921

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 827/465, 240/139, 553/921?

Answer: GCF of Numerators as per given numbers 827/465, 240/139, 553/921 is

GCF of Numerators i.e. for 827,240,553 is 1

LCM of denominators i.e. for 465,139,921 is 19842945.

Thus, GCF of Fractions is 1/19842945.Finally, GCF of Fractions for 827/465, 240/139, 553/921 is 1/19842945.