Greatest Common Factor of 140/79, 669/24, 470/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/79, 669/24, 470/408

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 140/79,669/24,470/408

Given fractions are 140/79,669/24,470/408

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 140,669,470

Greatest Common Factor of Numerators i.e. GCF of 140,669,470 is 1 .

LCM of Denominators means LCM of 79,24,408 as per the given fractions.

LCM of 79,24,408 is 32232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,669,470

GCF of Fractions 140/79,669/24,470/408 is 1/32232

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

Greatest Common Factor of 140,669,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,669,470 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 470

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

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

Greatest Common Factor

We found the factors 140,669,470 . The biggest common factor number is the GCF number.
So the greatest common factor 140,669,470 is 1.

Lets's calculate LCM of 79,24,408

2 79, 24, 408
2 79, 12, 204
2 79, 6, 102
3 79, 3, 51
79, 1, 17

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 79 x 1 x 17 = 32232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32232

Therefore, the GCF of Fractions 140/79,669/24,470/408 is 1/32232

Least Common Multiple of 79,24,408 with GCF Formula

Least Common Multiple of 79,24,408 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 79,24,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,24,408) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(79,24,408) x common factors =1 x 24 = 24

LCM(79,24,408) = ( 79 × 24 × 408 ) / 24

LCM(79,24,408) = 773568 / 24

LCM(79,24,408) = 32232


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 140/79, 669/24, 470/408

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 140/79, 669/24, 470/408?

Answer: GCF of Numerators as per given numbers 140/79, 669/24, 470/408 is

GCF of Numerators i.e. for 140,669,470 is 1

LCM of denominators i.e. for 79,24,408 is 32232.

Thus, GCF of Fractions is 1/32232.Finally, GCF of Fractions for 140/79, 669/24, 470/408 is 1/32232.