Greatest Common Factor of 901/76, 859/55, 414/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 901/76, 859/55, 414/542

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 901/76,859/55,414/542

Given fractions are 901/76,859/55,414/542

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 901,859,414

Greatest Common Factor of Numerators i.e. GCF of 901,859,414 is 1 .

LCM of Denominators means LCM of 76,55,542 as per the given fractions.

LCM of 76,55,542 is 1132780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 901,859,414

GCF of Fractions 901/76,859/55,414/542 is 1/1132780

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

Greatest Common Factor of 901,859,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 901,859,414 By Matching Biggest Common Factor Method

Factors of 901

List of positive integer factors of 901 that divides 901 without a remainder.

1,17,53,901

Factors of 859

List of positive integer factors of 859 that divides 859 without a remainder.

1,859

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 901,859,414 . The biggest common factor number is the GCF number.
So the greatest common factor 901,859,414 is 1.

Lets's calculate LCM of 76,55,542

2 76, 55, 542
38, 55, 271

∴ So the LCM of the given numbers is 2 x 38 x 55 x 271 = 1132780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1132780

Therefore, the GCF of Fractions 901/76,859/55,414/542 is 1/1132780

Least Common Multiple of 76,55,542 with GCF Formula

Least Common Multiple of 76,55,542 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 76,55,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,55,542) = 1

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

GCF(76,55,542) x common factors =1 x 2 = 2

LCM(76,55,542) = ( 76 × 55 × 542 ) / 2

LCM(76,55,542) = 2265560 / 2

LCM(76,55,542) = 1132780


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 901/76, 859/55, 414/542

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 901/76, 859/55, 414/542?

Answer: GCF of Numerators as per given numbers 901/76, 859/55, 414/542 is

GCF of Numerators i.e. for 901,859,414 is 1

LCM of denominators i.e. for 76,55,542 is 1132780.

Thus, GCF of Fractions is 1/1132780.Finally, GCF of Fractions for 901/76, 859/55, 414/542 is 1/1132780.