Greatest Common Factor of 51/550, 755/428, 790/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/550, 755/428, 790/375

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 51/550,755/428,790/375

Given fractions are 51/550,755/428,790/375

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 51,755,790

Greatest Common Factor of Numerators i.e. GCF of 51,755,790 is 1 .

LCM of Denominators means LCM of 550,428,375 as per the given fractions.

LCM of 550,428,375 is 1765500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,755,790

GCF of Fractions 51/550,755/428,790/375 is 1/1765500

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

Greatest Common Factor of 51,755,790 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,755,790 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Greatest Common Factor

We found the factors 51,755,790 . The biggest common factor number is the GCF number.
So the greatest common factor 51,755,790 is 1.

Lets's calculate LCM of 550,428,375

2 550, 428, 375
5 275, 214, 375
5 55, 214, 75
11, 214, 15

∴ So the LCM of the given numbers is 2 x 5 x 5 x 11 x 214 x 15 = 1765500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1765500

Therefore, the GCF of Fractions 51/550,755/428,790/375 is 1/1765500

Least Common Multiple of 550,428,375 with GCF Formula

Least Common Multiple of 550,428,375 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 550,428,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(550,428,375) = 1

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

GCF(550,428,375) x common factors =1 x 50 = 50

LCM(550,428,375) = ( 550 × 428 × 375 ) / 50

LCM(550,428,375) = 88275000 / 50

LCM(550,428,375) = 1765500


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 51/550, 755/428, 790/375

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 51/550, 755/428, 790/375?

Answer: GCF of Numerators as per given numbers 51/550, 755/428, 790/375 is

GCF of Numerators i.e. for 51,755,790 is 1

LCM of denominators i.e. for 550,428,375 is 1765500.

Thus, GCF of Fractions is 1/1765500.Finally, GCF of Fractions for 51/550, 755/428, 790/375 is 1/1765500.