Greatest Common Factor of 920/30, 442/48, 441/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/30, 442/48, 441/319

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 920/30,442/48,441/319

Given fractions are 920/30,442/48,441/319

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 920,442,441

Greatest Common Factor of Numerators i.e. GCF of 920,442,441 is 1 .

LCM of Denominators means LCM of 30,48,319 as per the given fractions.

LCM of 30,48,319 is 76560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,442,441

GCF of Fractions 920/30,442/48,441/319 is 1/76560

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

Greatest Common Factor of 920,442,441 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,442,441 By Matching Biggest Common Factor Method

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

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 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Greatest Common Factor

We found the factors 920,442,441 . The biggest common factor number is the GCF number.
So the greatest common factor 920,442,441 is 1.

Lets's calculate LCM of 30,48,319

2 30, 48, 319
3 15, 24, 319
5, 8, 319

∴ So the LCM of the given numbers is 2 x 3 x 5 x 8 x 319 = 76560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76560

Therefore, the GCF of Fractions 920/30,442/48,441/319 is 1/76560

Least Common Multiple of 30,48,319 with GCF Formula

Least Common Multiple of 30,48,319 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 30,48,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,48,319) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(30,48,319) x common factors =1 x 6 = 6

LCM(30,48,319) = ( 30 × 48 × 319 ) / 6

LCM(30,48,319) = 459360 / 6

LCM(30,48,319) = 76560


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 920/30, 442/48, 441/319

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 920/30, 442/48, 441/319?

Answer: GCF of Numerators as per given numbers 920/30, 442/48, 441/319 is

GCF of Numerators i.e. for 920,442,441 is 1

LCM of denominators i.e. for 30,48,319 is 76560.

Thus, GCF of Fractions is 1/76560.Finally, GCF of Fractions for 920/30, 442/48, 441/319 is 1/76560.