Greatest Common Factor of 505/42, 637/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 505/42, 637/838

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 505/42,637/838

Given fractions are 505/42,637/838

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 505,637

Greatest Common Factor of Numerators i.e. GCF of 505,637 is 1 .

LCM of Denominators means LCM of 42,838 as per the given fractions.

LCM of 42,838 is 17598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 505,637

GCF of Fractions 505/42,637/838 is 1/17598

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

Greatest Common Factor of 505,637 By Matching Biggest Common Factor Method

Greatest Common Factor of 505,637 By Matching Biggest Common Factor Method

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Greatest Common Factor

We found the factors 505,637 . The biggest common factor number is the GCF number.
So the greatest common factor 505,637 is 1.

Lets's calculate LCM of 42,838

2 42, 838
21, 419

∴ So the LCM of the given numbers is 2 x 21 x 419 = 17598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17598

Therefore, the GCF of Fractions 505/42,637/838 is 1/17598

Least Common Multiple of 42,838 with GCF Formula

Least Common Multiple of 42,838 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 42,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,838) = 2

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

GCF(42,838) x common factors =2 x 1 = 2

LCM(42,838) = ( 42 × 838 ) / 2

LCM(42,838) = 35196 / 2

LCM(42,838) = 17598


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 505/42, 637/838

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 505/42, 637/838?

Answer: GCF of Numerators as per given numbers 505/42, 637/838 is

GCF of Numerators i.e. for 505,637 is 1

LCM of denominators i.e. for 42,838 is 17598.

Thus, GCF of Fractions is 1/17598.Finally, GCF of Fractions for 505/42, 637/838 is 1/17598.