Greatest Common Factor of 435/79, 426/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/79, 426/260

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 435/79,426/260

Given fractions are 435/79,426/260

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 435,426

Greatest Common Factor of Numerators i.e. GCF of 435,426 is 3 .

LCM of Denominators means LCM of 79,260 as per the given fractions.

LCM of 79,260 is 20540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,426

GCF of Fractions 435/79,426/260 is 3/20540

3 435, 426
145, 142

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 435,426 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,426 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Greatest Common Factor

We found the factors 435,426 . The biggest common factor number is the GCF number.
So the greatest common factor 435,426 is 3.

Lets's calculate LCM of 79,260

Given numbers has no common factors except 1. So, there LCM is their product i.e 20540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/20540

Therefore, the GCF of Fractions 435/79,426/260 is 3/20540

Least Common Multiple of 79,260 with GCF Formula

Least Common Multiple of 79,260 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 79,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,260) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,260) x common factors =1 x 1 = 1

LCM(79,260) = ( 79 × 260 ) / 1

LCM(79,260) = 20540 / 1

LCM(79,260) = 20540


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 435/79, 426/260

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 435/79, 426/260?

Answer: GCF of Numerators as per given numbers 435/79, 426/260 is

GCF of Numerators i.e. for 435,426 is 3

LCM of denominators i.e. for 79,260 is 20540.

Thus, GCF of Fractions is 3/20540.Finally, GCF of Fractions for 435/79, 426/260 is 3/20540.