Greatest Common Factor of 854/90, 732/3490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 854/90, 732/3490

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 854/90,732/3490

Given fractions are 854/90,732/3490

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 854,732

Greatest Common Factor of Numerators i.e. GCF of 854,732 is 122 .

LCM of Denominators means LCM of 90,3490 as per the given fractions.

LCM of 90,3490 is 31410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 854,732

GCF of Fractions 854/90,732/3490 is 122/31410

2 854, 732
61 427, 366
7, 6

∴ So the GCF of the given numbers is 2 x 61 = 122

Greatest Common Factor of 854,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,732 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 854,732 . The biggest common factor number is the GCF number.
So the greatest common factor 854,732 is 122.

Lets's calculate LCM of 90,3490

2 90, 3490
5 45, 1745
9, 349

∴ So the LCM of the given numbers is 2 x 5 x 9 x 349 = 31410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 122/31410

Therefore, the GCF of Fractions 854/90,732/3490 is 122/31410

Least Common Multiple of 90,3490 with GCF Formula

Least Common Multiple of 90,3490 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 90,3490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,3490) = 10

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

GCF(90,3490) x common factors =10 x 1 = 10

LCM(90,3490) = ( 90 × 3490 ) / 10

LCM(90,3490) = 314100 / 10

LCM(90,3490) = 31410


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 854/90, 732/3490

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 854/90, 732/3490?

Answer: GCF of Numerators as per given numbers 854/90, 732/3490 is

GCF of Numerators i.e. for 854,732 is 122

LCM of denominators i.e. for 90,3490 is 31410.

Thus, GCF of Fractions is 122/31410.Finally, GCF of Fractions for 854/90, 732/3490 is 122/31410.