Greatest Common Factor of 3410/287, 4391/7371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3410/287, 4391/7371

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 3410/287,4391/7371

Given fractions are 3410/287,4391/7371

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 3410,4391

Greatest Common Factor of Numerators i.e. GCF of 3410,4391 is 1 .

LCM of Denominators means LCM of 287,7371 as per the given fractions.

LCM of 287,7371 is 302211 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3410,4391

GCF of Fractions 3410/287,4391/7371 is 1/302211

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

Greatest Common Factor of 3410,4391 By Matching Biggest Common Factor Method

Greatest Common Factor of 3410,4391 By Matching Biggest Common Factor Method

Factors of 3410

List of positive integer factors of 3410 that divides 3410 without a remainder.

1,2,5,10,11,22,31,55,62,110,155,310,341,682,1705,3410

Factors of 4391

List of positive integer factors of 4391 that divides 4391 without a remainder.

1,4391

Greatest Common Factor

We found the factors 3410,4391 . The biggest common factor number is the GCF number.
So the greatest common factor 3410,4391 is 1.

Lets's calculate LCM of 287,7371

7 287, 7371
41, 1053

∴ So the LCM of the given numbers is 7 x 41 x 1053 = 302211

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302211

Therefore, the GCF of Fractions 3410/287,4391/7371 is 1/302211

Least Common Multiple of 287,7371 with GCF Formula

Least Common Multiple of 287,7371 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 287,7371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,7371) = 7

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

GCF(287,7371) x common factors =7 x 1 = 7

LCM(287,7371) = ( 287 × 7371 ) / 7

LCM(287,7371) = 2115477 / 7

LCM(287,7371) = 302211


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 3410/287, 4391/7371

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 3410/287, 4391/7371?

Answer: GCF of Numerators as per given numbers 3410/287, 4391/7371 is

GCF of Numerators i.e. for 3410,4391 is 1

LCM of denominators i.e. for 287,7371 is 302211.

Thus, GCF of Fractions is 1/302211.Finally, GCF of Fractions for 3410/287, 4391/7371 is 1/302211.