Greatest Common Factor of 1238/75, 3018/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1238/75, 3018/781

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 1238/75,3018/781

Given fractions are 1238/75,3018/781

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 1238,3018

Greatest Common Factor of Numerators i.e. GCF of 1238,3018 is 2 .

LCM of Denominators means LCM of 75,781 as per the given fractions.

LCM of 75,781 is 58575 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1238,3018

GCF of Fractions 1238/75,3018/781 is 2/58575

2 1238, 3018
619, 1509

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1238,3018 By Matching Biggest Common Factor Method

Greatest Common Factor of 1238,3018 By Matching Biggest Common Factor Method

Factors of 1238

List of positive integer factors of 1238 that divides 1238 without a remainder.

1,2,619,1238

Factors of 3018

List of positive integer factors of 3018 that divides 3018 without a remainder.

1,2,3,6,503,1006,1509,3018

Greatest Common Factor

We found the factors 1238,3018 . The biggest common factor number is the GCF number.
So the greatest common factor 1238,3018 is 2.

Lets's calculate LCM of 75,781

Given numbers has no common factors except 1. So, there LCM is their product i.e 58575

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58575

Therefore, the GCF of Fractions 1238/75,3018/781 is 2/58575

Least Common Multiple of 75,781 with GCF Formula

Least Common Multiple of 75,781 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 75,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,781) = 1

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

GCF(75,781) x common factors =1 x 1 = 1

LCM(75,781) = ( 75 × 781 ) / 1

LCM(75,781) = 58575 / 1

LCM(75,781) = 58575


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 1238/75, 3018/781

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 1238/75, 3018/781?

Answer: GCF of Numerators as per given numbers 1238/75, 3018/781 is

GCF of Numerators i.e. for 1238,3018 is 2

LCM of denominators i.e. for 75,781 is 58575.

Thus, GCF of Fractions is 2/58575.Finally, GCF of Fractions for 1238/75, 3018/781 is 2/58575.