Greatest Common Factor of 535/134, 726/997, 376/559

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 535/134, 726/997, 376/559

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 535/134,726/997,376/559

Given fractions are 535/134,726/997,376/559

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 535,726,376

Greatest Common Factor of Numerators i.e. GCF of 535,726,376 is 1 .

LCM of Denominators means LCM of 134,997,559 as per the given fractions.

LCM of 134,997,559 is 74681282 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 535,726,376

GCF of Fractions 535/134,726/997,376/559 is 1/74681282

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

Greatest Common Factor of 535,726,376 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,726,376 By Matching Biggest Common Factor Method

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 376

List of positive integer factors of 376 that divides 376 without a remainder.

1,2,4,8,47,94,188,376

Greatest Common Factor

We found the factors 535,726,376 . The biggest common factor number is the GCF number.
So the greatest common factor 535,726,376 is 1.

Lets's calculate LCM of 134,997,559

Given numbers has no common factors except 1. So, there LCM is their product i.e 74681282

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74681282

Therefore, the GCF of Fractions 535/134,726/997,376/559 is 1/74681282

Least Common Multiple of 134,997,559 with GCF Formula

Least Common Multiple of 134,997,559 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 134,997,559 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(134,997,559) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(134,997,559) x common factors =1 x 1 = 1

LCM(134,997,559) = ( 134 × 997 × 559 ) / 1

LCM(134,997,559) = 74681282 / 1

LCM(134,997,559) = 74681282


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 535/134, 726/997, 376/559

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 535/134, 726/997, 376/559?

Answer: GCF of Numerators as per given numbers 535/134, 726/997, 376/559 is

GCF of Numerators i.e. for 535,726,376 is 1

LCM of denominators i.e. for 134,997,559 is 74681282.

Thus, GCF of Fractions is 1/74681282.Finally, GCF of Fractions for 535/134, 726/997, 376/559 is 1/74681282.