Greatest Common Factor of 895/208, 3462/7158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 895/208, 3462/7158

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 895/208,3462/7158

Given fractions are 895/208,3462/7158

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 895,3462

Greatest Common Factor of Numerators i.e. GCF of 895,3462 is 1 .

LCM of Denominators means LCM of 208,7158 as per the given fractions.

LCM of 208,7158 is 744432 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 895,3462

GCF of Fractions 895/208,3462/7158 is 1/744432

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

Greatest Common Factor of 895,3462 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,3462 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 3462

List of positive integer factors of 3462 that divides 3462 without a remainder.

1,2,3,6,577,1154,1731,3462

Greatest Common Factor

We found the factors 895,3462 . The biggest common factor number is the GCF number.
So the greatest common factor 895,3462 is 1.

Lets's calculate LCM of 208,7158

2 208, 7158
104, 3579

∴ So the LCM of the given numbers is 2 x 104 x 3579 = 744432

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/744432

Therefore, the GCF of Fractions 895/208,3462/7158 is 1/744432

Least Common Multiple of 208,7158 with GCF Formula

Least Common Multiple of 208,7158 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 208,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(208,7158) = 2

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

GCF(208,7158) x common factors =2 x 1 = 2

LCM(208,7158) = ( 208 × 7158 ) / 2

LCM(208,7158) = 1488864 / 2

LCM(208,7158) = 744432


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 895/208, 3462/7158

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 895/208, 3462/7158?

Answer: GCF of Numerators as per given numbers 895/208, 3462/7158 is

GCF of Numerators i.e. for 895,3462 is 1

LCM of denominators i.e. for 208,7158 is 744432.

Thus, GCF of Fractions is 1/744432.Finally, GCF of Fractions for 895/208, 3462/7158 is 1/744432.