Greatest Common Factor of 436/406, 1656/7529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 436/406, 1656/7529

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 436/406,1656/7529

Given fractions are 436/406,1656/7529

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 436,1656

Greatest Common Factor of Numerators i.e. GCF of 436,1656 is 4 .

LCM of Denominators means LCM of 406,7529 as per the given fractions.

LCM of 406,7529 is 3056774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 436,1656

GCF of Fractions 436/406,1656/7529 is 4/3056774

2 436, 1656
2 218, 828
109, 414

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 436,1656 By Matching Biggest Common Factor Method

Greatest Common Factor of 436,1656 By Matching Biggest Common Factor Method

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656

Greatest Common Factor

We found the factors 436,1656 . The biggest common factor number is the GCF number.
So the greatest common factor 436,1656 is 4.

Lets's calculate LCM of 406,7529

Given numbers has no common factors except 1. So, there LCM is their product i.e 3056774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3056774

Therefore, the GCF of Fractions 436/406,1656/7529 is 4/3056774

Least Common Multiple of 406,7529 with GCF Formula

Least Common Multiple of 406,7529 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 406,7529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,7529) = 1

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

GCF(406,7529) x common factors =1 x 1 = 1

LCM(406,7529) = ( 406 × 7529 ) / 1

LCM(406,7529) = 3056774 / 1

LCM(406,7529) = 3056774


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 436/406, 1656/7529

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 436/406, 1656/7529?

Answer: GCF of Numerators as per given numbers 436/406, 1656/7529 is

GCF of Numerators i.e. for 436,1656 is 4

LCM of denominators i.e. for 406,7529 is 3056774.

Thus, GCF of Fractions is 4/3056774.Finally, GCF of Fractions for 436/406, 1656/7529 is 4/3056774.