Greatest Common Factor of 628/940, 391/486, 528/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 628/940, 391/486, 528/467

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 628/940,391/486,528/467

Given fractions are 628/940,391/486,528/467

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 628,391,528

Greatest Common Factor of Numerators i.e. GCF of 628,391,528 is 1 .

LCM of Denominators means LCM of 940,486,467 as per the given fractions.

LCM of 940,486,467 is 106672140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,391,528

GCF of Fractions 628/940,391/486,528/467 is 1/106672140

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

Greatest Common Factor of 628,391,528 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,391,528 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Greatest Common Factor

We found the factors 628,391,528 . The biggest common factor number is the GCF number.
So the greatest common factor 628,391,528 is 1.

Lets's calculate LCM of 940,486,467

2 940, 486, 467
470, 243, 467

∴ So the LCM of the given numbers is 2 x 470 x 243 x 467 = 106672140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106672140

Therefore, the GCF of Fractions 628/940,391/486,528/467 is 1/106672140

Least Common Multiple of 940,486,467 with GCF Formula

Least Common Multiple of 940,486,467 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 940,486,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,486,467) = 1

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

GCF(940,486,467) x common factors =1 x 2 = 2

LCM(940,486,467) = ( 940 × 486 × 467 ) / 2

LCM(940,486,467) = 213344280 / 2

LCM(940,486,467) = 106672140


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 628/940, 391/486, 528/467

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 628/940, 391/486, 528/467?

Answer: GCF of Numerators as per given numbers 628/940, 391/486, 528/467 is

GCF of Numerators i.e. for 628,391,528 is 1

LCM of denominators i.e. for 940,486,467 is 106672140.

Thus, GCF of Fractions is 1/106672140.Finally, GCF of Fractions for 628/940, 391/486, 528/467 is 1/106672140.