Greatest Common Factor of 8456/442, 3497/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8456/442, 3497/870

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 8456/442,3497/870

Given fractions are 8456/442,3497/870

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 8456,3497

Greatest Common Factor of Numerators i.e. GCF of 8456,3497 is 1 .

LCM of Denominators means LCM of 442,870 as per the given fractions.

LCM of 442,870 is 192270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8456,3497

GCF of Fractions 8456/442,3497/870 is 1/192270

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

Greatest Common Factor of 8456,3497 By Matching Biggest Common Factor Method

Greatest Common Factor of 8456,3497 By Matching Biggest Common Factor Method

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1,13,269,3497

Greatest Common Factor

We found the factors 8456,3497 . The biggest common factor number is the GCF number.
So the greatest common factor 8456,3497 is 1.

Lets's calculate LCM of 442,870

2 442, 870
221, 435

∴ So the LCM of the given numbers is 2 x 221 x 435 = 192270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192270

Therefore, the GCF of Fractions 8456/442,3497/870 is 1/192270

Least Common Multiple of 442,870 with GCF Formula

Least Common Multiple of 442,870 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 442,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(442,870) = 2

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

GCF(442,870) x common factors =2 x 1 = 2

LCM(442,870) = ( 442 × 870 ) / 2

LCM(442,870) = 384540 / 2

LCM(442,870) = 192270


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 8456/442, 3497/870

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 8456/442, 3497/870?

Answer: GCF of Numerators as per given numbers 8456/442, 3497/870 is

GCF of Numerators i.e. for 8456,3497 is 1

LCM of denominators i.e. for 442,870 is 192270.

Thus, GCF of Fractions is 1/192270.Finally, GCF of Fractions for 8456/442, 3497/870 is 1/192270.