Greatest Common Factor of 625/755, 474/709, 120/511

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 625/755, 474/709, 120/511

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 625/755,474/709,120/511

Given fractions are 625/755,474/709,120/511

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 625,474,120

Greatest Common Factor of Numerators i.e. GCF of 625,474,120 is 1 .

LCM of Denominators means LCM of 755,709,511 as per the given fractions.

LCM of 755,709,511 is 273535745 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 625,474,120

GCF of Fractions 625/755,474/709,120/511 is 1/273535745

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

Greatest Common Factor of 625,474,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 625,474,120 By Matching Biggest Common Factor Method

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 625,474,120 . The biggest common factor number is the GCF number.
So the greatest common factor 625,474,120 is 1.

Lets's calculate LCM of 755,709,511

Given numbers has no common factors except 1. So, there LCM is their product i.e 273535745

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/273535745

Therefore, the GCF of Fractions 625/755,474/709,120/511 is 1/273535745

Least Common Multiple of 755,709,511 with GCF Formula

Least Common Multiple of 755,709,511 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 755,709,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(755,709,511) = 1

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

GCF(755,709,511) x common factors =1 x 1 = 1

LCM(755,709,511) = ( 755 × 709 × 511 ) / 1

LCM(755,709,511) = 273535745 / 1

LCM(755,709,511) = 273535745


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 625/755, 474/709, 120/511

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 625/755, 474/709, 120/511?

Answer: GCF of Numerators as per given numbers 625/755, 474/709, 120/511 is

GCF of Numerators i.e. for 625,474,120 is 1

LCM of denominators i.e. for 755,709,511 is 273535745.

Thus, GCF of Fractions is 1/273535745.Finally, GCF of Fractions for 625/755, 474/709, 120/511 is 1/273535745.