Greatest Common Factor of 1657/90, 5104/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1657/90, 5104/636

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 1657/90,5104/636

Given fractions are 1657/90,5104/636

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 1657,5104

Greatest Common Factor of Numerators i.e. GCF of 1657,5104 is 1 .

LCM of Denominators means LCM of 90,636 as per the given fractions.

LCM of 90,636 is 9540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1657,5104

GCF of Fractions 1657/90,5104/636 is 1/9540

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

Greatest Common Factor of 1657,5104 By Matching Biggest Common Factor Method

Greatest Common Factor of 1657,5104 By Matching Biggest Common Factor Method

Factors of 1657

List of positive integer factors of 1657 that divides 1657 without a remainder.

1,1657

Factors of 5104

List of positive integer factors of 5104 that divides 5104 without a remainder.

1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104

Greatest Common Factor

We found the factors 1657,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 1657,5104 is 1.

Lets's calculate LCM of 90,636

2 90, 636
3 45, 318
15, 106

∴ So the LCM of the given numbers is 2 x 3 x 15 x 106 = 9540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9540

Therefore, the GCF of Fractions 1657/90,5104/636 is 1/9540

Least Common Multiple of 90,636 with GCF Formula

Least Common Multiple of 90,636 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 90,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,636) = 6

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

GCF(90,636) x common factors =6 x 1 = 6

LCM(90,636) = ( 90 × 636 ) / 6

LCM(90,636) = 57240 / 6

LCM(90,636) = 9540


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 1657/90, 5104/636

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 1657/90, 5104/636?

Answer: GCF of Numerators as per given numbers 1657/90, 5104/636 is

GCF of Numerators i.e. for 1657,5104 is 1

LCM of denominators i.e. for 90,636 is 9540.

Thus, GCF of Fractions is 1/9540.Finally, GCF of Fractions for 1657/90, 5104/636 is 1/9540.