Greatest Common Factor of 410/64, 101/67, 151/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 410/64, 101/67, 151/940

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 410/64,101/67,151/940

Given fractions are 410/64,101/67,151/940

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 410,101,151

Greatest Common Factor of Numerators i.e. GCF of 410,101,151 is 1 .

LCM of Denominators means LCM of 64,67,940 as per the given fractions.

LCM of 64,67,940 is 1007680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 410,101,151

GCF of Fractions 410/64,101/67,151/940 is 1/1007680

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

Greatest Common Factor of 410,101,151 By Matching Biggest Common Factor Method

Greatest Common Factor of 410,101,151 By Matching Biggest Common Factor Method

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 151

List of positive integer factors of 151 that divides 151 without a remainder.

1,151

Greatest Common Factor

We found the factors 410,101,151 . The biggest common factor number is the GCF number.
So the greatest common factor 410,101,151 is 1.

Lets's calculate LCM of 64,67,940

2 64, 67, 940
2 32, 67, 470
16, 67, 235

∴ So the LCM of the given numbers is 2 x 2 x 16 x 67 x 235 = 1007680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1007680

Therefore, the GCF of Fractions 410/64,101/67,151/940 is 1/1007680

Least Common Multiple of 64,67,940 with GCF Formula

Least Common Multiple of 64,67,940 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 64,67,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,67,940) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(64,67,940) x common factors =1 x 4 = 4

LCM(64,67,940) = ( 64 × 67 × 940 ) / 4

LCM(64,67,940) = 4030720 / 4

LCM(64,67,940) = 1007680


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 410/64, 101/67, 151/940

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 410/64, 101/67, 151/940?

Answer: GCF of Numerators as per given numbers 410/64, 101/67, 151/940 is

GCF of Numerators i.e. for 410,101,151 is 1

LCM of denominators i.e. for 64,67,940 is 1007680.

Thus, GCF of Fractions is 1/1007680.Finally, GCF of Fractions for 410/64, 101/67, 151/940 is 1/1007680.