Greatest Common Factor of 755/399, 382/580, 524/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 755/399, 382/580, 524/340

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 755/399,382/580,524/340

Given fractions are 755/399,382/580,524/340

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 755,382,524

Greatest Common Factor of Numerators i.e. GCF of 755,382,524 is 1 .

LCM of Denominators means LCM of 399,580,340 as per the given fractions.

LCM of 399,580,340 is 3934140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 755,382,524

GCF of Fractions 755/399,382/580,524/340 is 1/3934140

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

Greatest Common Factor of 755,382,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,382,524 By Matching Biggest Common Factor Method

Factors of 755

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

1,5,151,755

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 755,382,524 . The biggest common factor number is the GCF number.
So the greatest common factor 755,382,524 is 1.

Lets's calculate LCM of 399,580,340

2 399, 580, 340
2 399, 290, 170
5 399, 145, 85
399, 29, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 399 x 29 x 17 = 3934140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3934140

Therefore, the GCF of Fractions 755/399,382/580,524/340 is 1/3934140

Least Common Multiple of 399,580,340 with GCF Formula

Least Common Multiple of 399,580,340 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 399,580,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(399,580,340) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(399,580,340) x common factors =1 x 20 = 20

LCM(399,580,340) = ( 399 × 580 × 340 ) / 20

LCM(399,580,340) = 78682800 / 20

LCM(399,580,340) = 3934140


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 755/399, 382/580, 524/340

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 755/399, 382/580, 524/340?

Answer: GCF of Numerators as per given numbers 755/399, 382/580, 524/340 is

GCF of Numerators i.e. for 755,382,524 is 1

LCM of denominators i.e. for 399,580,340 is 3934140.

Thus, GCF of Fractions is 1/3934140.Finally, GCF of Fractions for 755/399, 382/580, 524/340 is 1/3934140.