Greatest Common Factor of 826/38, 284/78, 537/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 826/38, 284/78, 537/10

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 826/38,284/78,537/10

Given fractions are 826/38,284/78,537/10

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 826,284,537

Greatest Common Factor of Numerators i.e. GCF of 826,284,537 is 1 .

LCM of Denominators means LCM of 38,78,10 as per the given fractions.

LCM of 38,78,10 is 7410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 826,284,537

GCF of Fractions 826/38,284/78,537/10 is 1/7410

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

Greatest Common Factor of 826,284,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,284,537 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 826,284,537 . The biggest common factor number is the GCF number.
So the greatest common factor 826,284,537 is 1.

Lets's calculate LCM of 38,78,10

2 38, 78, 10
19, 39, 5

∴ So the LCM of the given numbers is 2 x 19 x 39 x 5 = 7410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7410

Therefore, the GCF of Fractions 826/38,284/78,537/10 is 1/7410

Least Common Multiple of 38,78,10 with GCF Formula

Least Common Multiple of 38,78,10 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 38,78,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,78,10) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(38,78,10) x common factors =2 x 2 = 4

LCM(38,78,10) = ( 38 × 78 × 10 ) / 4

LCM(38,78,10) = 29640 / 4

LCM(38,78,10) = 7410


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 826/38, 284/78, 537/10

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 826/38, 284/78, 537/10?

Answer: GCF of Numerators as per given numbers 826/38, 284/78, 537/10 is

GCF of Numerators i.e. for 826,284,537 is 1

LCM of denominators i.e. for 38,78,10 is 7410.

Thus, GCF of Fractions is 1/7410.Finally, GCF of Fractions for 826/38, 284/78, 537/10 is 1/7410.