Greatest Common Factor of 636/658, 2035/516

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 636/658, 2035/516

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 636/658,2035/516

Given fractions are 636/658,2035/516

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 636,2035

Greatest Common Factor of Numerators i.e. GCF of 636,2035 is 1 .

LCM of Denominators means LCM of 658,516 as per the given fractions.

LCM of 658,516 is 169764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 636,2035

GCF of Fractions 636/658,2035/516 is 1/169764

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

Greatest Common Factor of 636,2035 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,2035 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 2035

List of positive integer factors of 2035 that divides 2035 without a remainder.

1,5,11,37,55,185,407,2035

Greatest Common Factor

We found the factors 636,2035 . The biggest common factor number is the GCF number.
So the greatest common factor 636,2035 is 1.

Lets's calculate LCM of 658,516

2 658, 516
329, 258

∴ So the LCM of the given numbers is 2 x 329 x 258 = 169764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169764

Therefore, the GCF of Fractions 636/658,2035/516 is 1/169764

Least Common Multiple of 658,516 with GCF Formula

Least Common Multiple of 658,516 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 658,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,516) = 2

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

GCF(658,516) x common factors =2 x 1 = 2

LCM(658,516) = ( 658 × 516 ) / 2

LCM(658,516) = 339528 / 2

LCM(658,516) = 169764


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 636/658, 2035/516

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 636/658, 2035/516?

Answer: GCF of Numerators as per given numbers 636/658, 2035/516 is

GCF of Numerators i.e. for 636,2035 is 1

LCM of denominators i.e. for 658,516 is 169764.

Thus, GCF of Fractions is 1/169764.Finally, GCF of Fractions for 636/658, 2035/516 is 1/169764.