Greatest Common Factor of 442/371, 1755/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 442/371, 1755/120

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 442/371,1755/120

Given fractions are 442/371,1755/120

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 442,1755

Greatest Common Factor of Numerators i.e. GCF of 442,1755 is 13 .

LCM of Denominators means LCM of 371,120 as per the given fractions.

LCM of 371,120 is 44520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 442,1755

GCF of Fractions 442/371,1755/120 is 13/44520

13 442, 1755
34, 135

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 442,1755 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,1755 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 1755

List of positive integer factors of 1755 that divides 1755 without a remainder.

1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755

Greatest Common Factor

We found the factors 442,1755 . The biggest common factor number is the GCF number.
So the greatest common factor 442,1755 is 13.

Lets's calculate LCM of 371,120

Given numbers has no common factors except 1. So, there LCM is their product i.e 44520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/44520

Therefore, the GCF of Fractions 442/371,1755/120 is 13/44520

Least Common Multiple of 371,120 with GCF Formula

Least Common Multiple of 371,120 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 371,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,120) = 1

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

GCF(371,120) x common factors =1 x 1 = 1

LCM(371,120) = ( 371 × 120 ) / 1

LCM(371,120) = 44520 / 1

LCM(371,120) = 44520


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 442/371, 1755/120

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 442/371, 1755/120?

Answer: GCF of Numerators as per given numbers 442/371, 1755/120 is

GCF of Numerators i.e. for 442,1755 is 13

LCM of denominators i.e. for 371,120 is 44520.

Thus, GCF of Fractions is 13/44520.Finally, GCF of Fractions for 442/371, 1755/120 is 13/44520.