Greatest Common Factor of 110/437, 920/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 110/437, 920/404

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 110/437,920/404

Given fractions are 110/437,920/404

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 110,920

Greatest Common Factor of Numerators i.e. GCF of 110,920 is 10 .

LCM of Denominators means LCM of 437,404 as per the given fractions.

LCM of 437,404 is 176548 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 110,920

GCF of Fractions 110/437,920/404 is 10/176548

2 110, 920
5 55, 460
11, 92

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 110,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,920 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 110,920 . The biggest common factor number is the GCF number.
So the greatest common factor 110,920 is 10.

Lets's calculate LCM of 437,404

Given numbers has no common factors except 1. So, there LCM is their product i.e 176548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/176548

Therefore, the GCF of Fractions 110/437,920/404 is 10/176548

Least Common Multiple of 437,404 with GCF Formula

Least Common Multiple of 437,404 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 437,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(437,404) = 1

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

GCF(437,404) x common factors =1 x 1 = 1

LCM(437,404) = ( 437 × 404 ) / 1

LCM(437,404) = 176548 / 1

LCM(437,404) = 176548


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 110/437, 920/404

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 110/437, 920/404?

Answer: GCF of Numerators as per given numbers 110/437, 920/404 is

GCF of Numerators i.e. for 110,920 is 10

LCM of denominators i.e. for 437,404 is 176548.

Thus, GCF of Fractions is 10/176548.Finally, GCF of Fractions for 110/437, 920/404 is 10/176548.