Greatest Common Factor of 848/972, 709/516, 525/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 848/972, 709/516, 525/826

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 848/972,709/516,525/826

Given fractions are 848/972,709/516,525/826

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 848,709,525

Greatest Common Factor of Numerators i.e. GCF of 848,709,525 is 1 .

LCM of Denominators means LCM of 972,516,826 as per the given fractions.

LCM of 972,516,826 is 17261748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 848,709,525

GCF of Fractions 848/972,709/516,525/826 is 1/17261748

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

Greatest Common Factor of 848,709,525 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,709,525 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 525

List of positive integer factors of 525 that divides 525 without a remainder.

1,3,5,7,15,21,25,35,75,105,175,525

Greatest Common Factor

We found the factors 848,709,525 . The biggest common factor number is the GCF number.
So the greatest common factor 848,709,525 is 1.

Lets's calculate LCM of 972,516,826

2 972, 516, 826
2 486, 258, 413
3 243, 129, 413
81, 43, 413

∴ So the LCM of the given numbers is 2 x 2 x 3 x 81 x 43 x 413 = 17261748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17261748

Therefore, the GCF of Fractions 848/972,709/516,525/826 is 1/17261748

Least Common Multiple of 972,516,826 with GCF Formula

Least Common Multiple of 972,516,826 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 972,516,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,516,826) = 2

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

GCF(972,516,826) x common factors =2 x 12 = 24

LCM(972,516,826) = ( 972 × 516 × 826 ) / 24

LCM(972,516,826) = 414281952 / 24

LCM(972,516,826) = 17261748


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 848/972, 709/516, 525/826

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 848/972, 709/516, 525/826?

Answer: GCF of Numerators as per given numbers 848/972, 709/516, 525/826 is

GCF of Numerators i.e. for 848,709,525 is 1

LCM of denominators i.e. for 972,516,826 is 17261748.

Thus, GCF of Fractions is 1/17261748.Finally, GCF of Fractions for 848/972, 709/516, 525/826 is 1/17261748.