Greatest Common Factor of 3/90, 17/48, 74/728, 221/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/90, 17/48, 74/728, 221/847

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 3/90,17/48,74/728,221/847

Given fractions are 3/90,17/48,74/728,221/847

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 3,17,74,221

Greatest Common Factor of Numerators i.e. GCF of 3,17,74,221 is 1 .

LCM of Denominators means LCM of 90,48,728,847 as per the given fractions.

LCM of 90,48,728,847 is 7927920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,17,74,221

GCF of Fractions 3/90,17/48,74/728,221/847 is 1/7927920

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

Greatest Common Factor of 3,17,74,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,17,74,221 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 3,17,74,221 . The biggest common factor number is the GCF number.
So the greatest common factor 3,17,74,221 is 1.

Lets's calculate LCM of 90,48,728,847

2 90, 48, 728, 847
2 45, 24, 364, 847
2 45, 12, 182, 847
3 45, 6, 91, 847
7 15, 2, 91, 847
15, 2, 13, 121

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 15 x 2 x 13 x 121 = 7927920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7927920

Therefore, the GCF of Fractions 3/90,17/48,74/728,221/847 is 1/7927920

Least Common Multiple of 90,48,728,847 with GCF Formula

Least Common Multiple of 90,48,728,847 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 90,48,728,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,48,728,847) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(90,48,728,847) x common factors =1 x 336 = 336

LCM(90,48,728,847) = ( 90 × 48 × 728 × 847 ) / 336

LCM(90,48,728,847) = 2663781120 / 336

LCM(90,48,728,847) = 7927920


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 3/90, 17/48, 74/728, 221/847

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 3/90, 17/48, 74/728, 221/847?

Answer: GCF of Numerators as per given numbers 3/90, 17/48, 74/728, 221/847 is

GCF of Numerators i.e. for 3,17,74,221 is 1

LCM of denominators i.e. for 90,48,728,847 is 7927920.

Thus, GCF of Fractions is 1/7927920.Finally, GCF of Fractions for 3/90, 17/48, 74/728, 221/847 is 1/7927920.