Greatest Common Factor of 1635/252, 9035/3458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1635/252, 9035/3458

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 1635/252,9035/3458

Given fractions are 1635/252,9035/3458

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 1635,9035

Greatest Common Factor of Numerators i.e. GCF of 1635,9035 is 5 .

LCM of Denominators means LCM of 252,3458 as per the given fractions.

LCM of 252,3458 is 62244 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1635,9035

GCF of Fractions 1635/252,9035/3458 is 5/62244

5 1635, 9035
327, 1807

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 1635,9035 By Matching Biggest Common Factor Method

Greatest Common Factor of 1635,9035 By Matching Biggest Common Factor Method

Factors of 1635

List of positive integer factors of 1635 that divides 1635 without a remainder.

1,3,5,15,109,327,545,1635

Factors of 9035

List of positive integer factors of 9035 that divides 9035 without a remainder.

1,5,13,65,139,695,1807,9035

Greatest Common Factor

We found the factors 1635,9035 . The biggest common factor number is the GCF number.
So the greatest common factor 1635,9035 is 5.

Lets's calculate LCM of 252,3458

2 252, 3458
7 126, 1729
18, 247

∴ So the LCM of the given numbers is 2 x 7 x 18 x 247 = 62244

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/62244

Therefore, the GCF of Fractions 1635/252,9035/3458 is 5/62244

Least Common Multiple of 252,3458 with GCF Formula

Least Common Multiple of 252,3458 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 252,3458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,3458) = 14

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

GCF(252,3458) x common factors =14 x 1 = 14

LCM(252,3458) = ( 252 × 3458 ) / 14

LCM(252,3458) = 871416 / 14

LCM(252,3458) = 62244


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 1635/252, 9035/3458

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 1635/252, 9035/3458?

Answer: GCF of Numerators as per given numbers 1635/252, 9035/3458 is

GCF of Numerators i.e. for 1635,9035 is 5

LCM of denominators i.e. for 252,3458 is 62244.

Thus, GCF of Fractions is 5/62244.Finally, GCF of Fractions for 1635/252, 9035/3458 is 5/62244.