Greatest Common Factor of 11/750, 129/950, 538/497

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/750, 129/950, 538/497

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 11/750,129/950,538/497

Given fractions are 11/750,129/950,538/497

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 11,129,538

Greatest Common Factor of Numerators i.e. GCF of 11,129,538 is 1 .

LCM of Denominators means LCM of 750,950,497 as per the given fractions.

LCM of 750,950,497 is 7082250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,129,538

GCF of Fractions 11/750,129/950,538/497 is 1/7082250

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

Greatest Common Factor of 11,129,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,129,538 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 11,129,538 . The biggest common factor number is the GCF number.
So the greatest common factor 11,129,538 is 1.

Lets's calculate LCM of 750,950,497

2 750, 950, 497
5 375, 475, 497
5 75, 95, 497
15, 19, 497

∴ So the LCM of the given numbers is 2 x 5 x 5 x 15 x 19 x 497 = 7082250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7082250

Therefore, the GCF of Fractions 11/750,129/950,538/497 is 1/7082250

Least Common Multiple of 750,950,497 with GCF Formula

Least Common Multiple of 750,950,497 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 750,950,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,950,497) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(750,950,497) x common factors =1 x 50 = 50

LCM(750,950,497) = ( 750 × 950 × 497 ) / 50

LCM(750,950,497) = 354112500 / 50

LCM(750,950,497) = 7082250


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 11/750, 129/950, 538/497

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 11/750, 129/950, 538/497?

Answer: GCF of Numerators as per given numbers 11/750, 129/950, 538/497 is

GCF of Numerators i.e. for 11,129,538 is 1

LCM of denominators i.e. for 750,950,497 is 7082250.

Thus, GCF of Fractions is 1/7082250.Finally, GCF of Fractions for 11/750, 129/950, 538/497 is 1/7082250.