Greatest Common Factor of 96/826, 63/236, 509/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 96/826, 63/236, 509/508

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 96/826,63/236,509/508

Given fractions are 96/826,63/236,509/508

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 96,63,509

Greatest Common Factor of Numerators i.e. GCF of 96,63,509 is 1 .

LCM of Denominators means LCM of 826,236,508 as per the given fractions.

LCM of 826,236,508 is 209804 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 96,63,509

GCF of Fractions 96/826,63/236,509/508 is 1/209804

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

Greatest Common Factor of 96,63,509 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,63,509 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Greatest Common Factor

We found the factors 96,63,509 . The biggest common factor number is the GCF number.
So the greatest common factor 96,63,509 is 1.

Lets's calculate LCM of 826,236,508

2 826, 236, 508
2 413, 118, 254
59 413, 59, 127
7, 1, 127

∴ So the LCM of the given numbers is 2 x 2 x 59 x 7 x 1 x 127 = 209804

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209804

Therefore, the GCF of Fractions 96/826,63/236,509/508 is 1/209804

Least Common Multiple of 826,236,508 with GCF Formula

Least Common Multiple of 826,236,508 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 826,236,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,236,508) = 2

common factors(in case of two or more numbers have common factors) = 236

GCF(826,236,508) x common factors =2 x 236 = 472

LCM(826,236,508) = ( 826 × 236 × 508 ) / 472

LCM(826,236,508) = 99027488 / 472

LCM(826,236,508) = 209804


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 96/826, 63/236, 509/508

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 96/826, 63/236, 509/508?

Answer: GCF of Numerators as per given numbers 96/826, 63/236, 509/508 is

GCF of Numerators i.e. for 96,63,509 is 1

LCM of denominators i.e. for 826,236,508 is 209804.

Thus, GCF of Fractions is 1/209804.Finally, GCF of Fractions for 96/826, 63/236, 509/508 is 1/209804.