Greatest Common Factor of 3371/160, 7411/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3371/160, 7411/695

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 3371/160,7411/695

Given fractions are 3371/160,7411/695

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 3371,7411

Greatest Common Factor of Numerators i.e. GCF of 3371,7411 is 1 .

LCM of Denominators means LCM of 160,695 as per the given fractions.

LCM of 160,695 is 22240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3371,7411

GCF of Fractions 3371/160,7411/695 is 1/22240

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

Greatest Common Factor of 3371,7411 By Matching Biggest Common Factor Method

Greatest Common Factor of 3371,7411 By Matching Biggest Common Factor Method

Factors of 3371

List of positive integer factors of 3371 that divides 3371 without a remainder.

1,3371

Factors of 7411

List of positive integer factors of 7411 that divides 7411 without a remainder.

1,7411

Greatest Common Factor

We found the factors 3371,7411 . The biggest common factor number is the GCF number.
So the greatest common factor 3371,7411 is 1.

Lets's calculate LCM of 160,695

5 160, 695
32, 139

∴ So the LCM of the given numbers is 5 x 32 x 139 = 22240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22240

Therefore, the GCF of Fractions 3371/160,7411/695 is 1/22240

Least Common Multiple of 160,695 with GCF Formula

Least Common Multiple of 160,695 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 160,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,695) = 5

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

GCF(160,695) x common factors =5 x 1 = 5

LCM(160,695) = ( 160 × 695 ) / 5

LCM(160,695) = 111200 / 5

LCM(160,695) = 22240


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 3371/160, 7411/695

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 3371/160, 7411/695?

Answer: GCF of Numerators as per given numbers 3371/160, 7411/695 is

GCF of Numerators i.e. for 3371,7411 is 1

LCM of denominators i.e. for 160,695 is 22240.

Thus, GCF of Fractions is 1/22240.Finally, GCF of Fractions for 3371/160, 7411/695 is 1/22240.