Greatest Common Factor of 3210/878, 7058/7187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3210/878, 7058/7187

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 3210/878,7058/7187

Given fractions are 3210/878,7058/7187

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 3210,7058

Greatest Common Factor of Numerators i.e. GCF of 3210,7058 is 2 .

LCM of Denominators means LCM of 878,7187 as per the given fractions.

LCM of 878,7187 is 6310186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3210,7058

GCF of Fractions 3210/878,7058/7187 is 2/6310186

2 3210, 7058
1605, 3529

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

Greatest Common Factor of 3210,7058 By Matching Biggest Common Factor Method

Greatest Common Factor of 3210,7058 By Matching Biggest Common Factor Method

Factors of 3210

List of positive integer factors of 3210 that divides 3210 without a remainder.

1,2,3,5,6,10,15,30,107,214,321,535,642,1070,1605,3210

Factors of 7058

List of positive integer factors of 7058 that divides 7058 without a remainder.

1,2,3529,7058

Greatest Common Factor

We found the factors 3210,7058 . The biggest common factor number is the GCF number.
So the greatest common factor 3210,7058 is 2.

Lets's calculate LCM of 878,7187

Given numbers has no common factors except 1. So, there LCM is their product i.e 6310186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6310186

Therefore, the GCF of Fractions 3210/878,7058/7187 is 2/6310186

Least Common Multiple of 878,7187 with GCF Formula

Least Common Multiple of 878,7187 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 878,7187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,7187) = 1

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

GCF(878,7187) x common factors =1 x 1 = 1

LCM(878,7187) = ( 878 × 7187 ) / 1

LCM(878,7187) = 6310186 / 1

LCM(878,7187) = 6310186


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 3210/878, 7058/7187

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 3210/878, 7058/7187?

Answer: GCF of Numerators as per given numbers 3210/878, 7058/7187 is

GCF of Numerators i.e. for 3210,7058 is 2

LCM of denominators i.e. for 878,7187 is 6310186.

Thus, GCF of Fractions is 2/6310186.Finally, GCF of Fractions for 3210/878, 7058/7187 is 2/6310186.