Greatest Common Factor of 35/568, 470/416, 129/506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/568, 470/416, 129/506

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 35/568,470/416,129/506

Given fractions are 35/568,470/416,129/506

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 35,470,129

Greatest Common Factor of Numerators i.e. GCF of 35,470,129 is 1 .

LCM of Denominators means LCM of 568,416,506 as per the given fractions.

LCM of 568,416,506 is 7472608 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,470,129

GCF of Fractions 35/568,470/416,129/506 is 1/7472608

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

Greatest Common Factor of 35,470,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,470,129 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 35,470,129 . The biggest common factor number is the GCF number.
So the greatest common factor 35,470,129 is 1.

Lets's calculate LCM of 568,416,506

2 568, 416, 506
2 284, 208, 253
2 142, 104, 253
71, 52, 253

∴ So the LCM of the given numbers is 2 x 2 x 2 x 71 x 52 x 253 = 7472608

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7472608

Therefore, the GCF of Fractions 35/568,470/416,129/506 is 1/7472608

Least Common Multiple of 568,416,506 with GCF Formula

Least Common Multiple of 568,416,506 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 568,416,506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(568,416,506) = 2

common factors(in case of two or more numbers have common factors) = 8

GCF(568,416,506) x common factors =2 x 8 = 16

LCM(568,416,506) = ( 568 × 416 × 506 ) / 16

LCM(568,416,506) = 119561728 / 16

LCM(568,416,506) = 7472608


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 35/568, 470/416, 129/506

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 35/568, 470/416, 129/506?

Answer: GCF of Numerators as per given numbers 35/568, 470/416, 129/506 is

GCF of Numerators i.e. for 35,470,129 is 1

LCM of denominators i.e. for 568,416,506 is 7472608.

Thus, GCF of Fractions is 1/7472608.Finally, GCF of Fractions for 35/568, 470/416, 129/506 is 1/7472608.