Greatest Common Factor of 220/41, 315/90, 757/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 220/41, 315/90, 757/99

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 220/41,315/90,757/99

Given fractions are 220/41,315/90,757/99

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 220,315,757

Greatest Common Factor of Numerators i.e. GCF of 220,315,757 is 1 .

LCM of Denominators means LCM of 41,90,99 as per the given fractions.

LCM of 41,90,99 is 40590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 220,315,757

GCF of Fractions 220/41,315/90,757/99 is 1/40590

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

Greatest Common Factor of 220,315,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,315,757 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 220,315,757 . The biggest common factor number is the GCF number.
So the greatest common factor 220,315,757 is 1.

Lets's calculate LCM of 41,90,99

3 41, 90, 99
3 41, 30, 33
41, 10, 11

∴ So the LCM of the given numbers is 3 x 3 x 41 x 10 x 11 = 40590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40590

Therefore, the GCF of Fractions 220/41,315/90,757/99 is 1/40590

Least Common Multiple of 41,90,99 with GCF Formula

Least Common Multiple of 41,90,99 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 41,90,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,90,99) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(41,90,99) x common factors =1 x 9 = 9

LCM(41,90,99) = ( 41 × 90 × 99 ) / 9

LCM(41,90,99) = 365310 / 9

LCM(41,90,99) = 40590


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 220/41, 315/90, 757/99

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 220/41, 315/90, 757/99?

Answer: GCF of Numerators as per given numbers 220/41, 315/90, 757/99 is

GCF of Numerators i.e. for 220,315,757 is 1

LCM of denominators i.e. for 41,90,99 is 40590.

Thus, GCF of Fractions is 1/40590.Finally, GCF of Fractions for 220/41, 315/90, 757/99 is 1/40590.