Greatest Common Factor of 10/540, 760/569, 770/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/540, 760/569, 770/418

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 10/540,760/569,770/418

Given fractions are 10/540,760/569,770/418

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 10,760,770

Greatest Common Factor of Numerators i.e. GCF of 10,760,770 is 10 .

LCM of Denominators means LCM of 540,569,418 as per the given fractions.

LCM of 540,569,418 is 64217340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,760,770

GCF of Fractions 10/540,760/569,770/418 is 10/64217340

2 10, 760, 770
5 5, 380, 385
1, 76, 77

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 10,760,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,760,770 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 10,760,770 . The biggest common factor number is the GCF number.
So the greatest common factor 10,760,770 is 10.

Lets's calculate LCM of 540,569,418

2 540, 569, 418
270, 569, 209

∴ So the LCM of the given numbers is 2 x 270 x 569 x 209 = 64217340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/64217340

Therefore, the GCF of Fractions 10/540,760/569,770/418 is 10/64217340

Least Common Multiple of 540,569,418 with GCF Formula

Least Common Multiple of 540,569,418 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 540,569,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,569,418) = 1

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

GCF(540,569,418) x common factors =1 x 2 = 2

LCM(540,569,418) = ( 540 × 569 × 418 ) / 2

LCM(540,569,418) = 128434680 / 2

LCM(540,569,418) = 64217340


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 10/540, 760/569, 770/418

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 10/540, 760/569, 770/418?

Answer: GCF of Numerators as per given numbers 10/540, 760/569, 770/418 is

GCF of Numerators i.e. for 10,760,770 is 10

LCM of denominators i.e. for 540,569,418 is 64217340.

Thus, GCF of Fractions is 10/64217340.Finally, GCF of Fractions for 10/540, 760/569, 770/418 is 10/64217340.