Greatest Common Factor of 835/55, 537/10, 389/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 835/55, 537/10, 389/767

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 835/55,537/10,389/767

Given fractions are 835/55,537/10,389/767

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 835,537,389

Greatest Common Factor of Numerators i.e. GCF of 835,537,389 is 1 .

LCM of Denominators means LCM of 55,10,767 as per the given fractions.

LCM of 55,10,767 is 84370 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 835,537,389

GCF of Fractions 835/55,537/10,389/767 is 1/84370

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

Greatest Common Factor of 835,537,389 By Matching Biggest Common Factor Method

Greatest Common Factor of 835,537,389 By Matching Biggest Common Factor Method

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Factors of 537

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

1,3,179,537

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Greatest Common Factor

We found the factors 835,537,389 . The biggest common factor number is the GCF number.
So the greatest common factor 835,537,389 is 1.

Lets's calculate LCM of 55,10,767

5 55, 10, 767
11, 2, 767

∴ So the LCM of the given numbers is 5 x 11 x 2 x 767 = 84370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84370

Therefore, the GCF of Fractions 835/55,537/10,389/767 is 1/84370

Least Common Multiple of 55,10,767 with GCF Formula

Least Common Multiple of 55,10,767 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 55,10,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,10,767) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,10,767) x common factors =1 x 5 = 5

LCM(55,10,767) = ( 55 × 10 × 767 ) / 5

LCM(55,10,767) = 421850 / 5

LCM(55,10,767) = 84370


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 835/55, 537/10, 389/767

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 835/55, 537/10, 389/767?

Answer: GCF of Numerators as per given numbers 835/55, 537/10, 389/767 is

GCF of Numerators i.e. for 835,537,389 is 1

LCM of denominators i.e. for 55,10,767 is 84370.

Thus, GCF of Fractions is 1/84370.Finally, GCF of Fractions for 835/55, 537/10, 389/767 is 1/84370.