Greatest Common Factor of 3818/148, 7889/937

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3818/148, 7889/937

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 3818/148,7889/937

Given fractions are 3818/148,7889/937

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 3818,7889

Greatest Common Factor of Numerators i.e. GCF of 3818,7889 is 23 .

LCM of Denominators means LCM of 148,937 as per the given fractions.

LCM of 148,937 is 138676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3818,7889

GCF of Fractions 3818/148,7889/937 is 23/138676

23 3818, 7889
166, 343

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 3818,7889 By Matching Biggest Common Factor Method

Greatest Common Factor of 3818,7889 By Matching Biggest Common Factor Method

Factors of 3818

List of positive integer factors of 3818 that divides 3818 without a remainder.

1,2,23,46,83,166,1909,3818

Factors of 7889

List of positive integer factors of 7889 that divides 7889 without a remainder.

1,7,23,49,161,343,1127,7889

Greatest Common Factor

We found the factors 3818,7889 . The biggest common factor number is the GCF number.
So the greatest common factor 3818,7889 is 23.

Lets's calculate LCM of 148,937

Given numbers has no common factors except 1. So, there LCM is their product i.e 138676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/138676

Therefore, the GCF of Fractions 3818/148,7889/937 is 23/138676

Least Common Multiple of 148,937 with GCF Formula

Least Common Multiple of 148,937 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 148,937 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,937) = 1

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

GCF(148,937) x common factors =1 x 1 = 1

LCM(148,937) = ( 148 × 937 ) / 1

LCM(148,937) = 138676 / 1

LCM(148,937) = 138676


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 3818/148, 7889/937

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 3818/148, 7889/937?

Answer: GCF of Numerators as per given numbers 3818/148, 7889/937 is

GCF of Numerators i.e. for 3818,7889 is 23

LCM of denominators i.e. for 148,937 is 138676.

Thus, GCF of Fractions is 23/138676.Finally, GCF of Fractions for 3818/148, 7889/937 is 23/138676.