Greatest Common Factor of 610/38, 711/75, 125/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/38, 711/75, 125/838

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 610/38,711/75,125/838

Given fractions are 610/38,711/75,125/838

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 610,711,125

Greatest Common Factor of Numerators i.e. GCF of 610,711,125 is 1 .

LCM of Denominators means LCM of 38,75,838 as per the given fractions.

LCM of 38,75,838 is 1194150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,711,125

GCF of Fractions 610/38,711/75,125/838 is 1/1194150

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

Greatest Common Factor of 610,711,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,711,125 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 610,711,125 . The biggest common factor number is the GCF number.
So the greatest common factor 610,711,125 is 1.

Lets's calculate LCM of 38,75,838

2 38, 75, 838
19, 75, 419

∴ So the LCM of the given numbers is 2 x 19 x 75 x 419 = 1194150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1194150

Therefore, the GCF of Fractions 610/38,711/75,125/838 is 1/1194150

Least Common Multiple of 38,75,838 with GCF Formula

Least Common Multiple of 38,75,838 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 38,75,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,75,838) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,75,838) x common factors =1 x 2 = 2

LCM(38,75,838) = ( 38 × 75 × 838 ) / 2

LCM(38,75,838) = 2388300 / 2

LCM(38,75,838) = 1194150


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 610/38, 711/75, 125/838

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 610/38, 711/75, 125/838?

Answer: GCF of Numerators as per given numbers 610/38, 711/75, 125/838 is

GCF of Numerators i.e. for 610,711,125 is 1

LCM of denominators i.e. for 38,75,838 is 1194150.

Thus, GCF of Fractions is 1/1194150.Finally, GCF of Fractions for 610/38, 711/75, 125/838 is 1/1194150.