Greatest Common Factor of 1/49, 22/48, 80/638, 665/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/49, 22/48, 80/638, 665/333

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 1/49,22/48,80/638,665/333

Given fractions are 1/49,22/48,80/638,665/333

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 1,22,80,665

Greatest Common Factor of Numerators i.e. GCF of 1,22,80,665 is 1 .

LCM of Denominators means LCM of 49,48,638,333 as per the given fractions.

LCM of 49,48,638,333 is 83281968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,22,80,665

GCF of Fractions 1/49,22/48,80/638,665/333 is 1/83281968

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

Greatest Common Factor of 1,22,80,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,22,80,665 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 1,22,80,665 . The biggest common factor number is the GCF number.
So the greatest common factor 1,22,80,665 is 1.

Lets's calculate LCM of 49,48,638,333

2 49, 48, 638, 333
3 49, 24, 319, 333
49, 8, 319, 111

∴ So the LCM of the given numbers is 2 x 3 x 49 x 8 x 319 x 111 = 83281968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83281968

Therefore, the GCF of Fractions 1/49,22/48,80/638,665/333 is 1/83281968

Least Common Multiple of 49,48,638,333 with GCF Formula

Least Common Multiple of 49,48,638,333 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 49,48,638,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,48,638,333) = 1

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

GCF(49,48,638,333) x common factors =1 x 6 = 6

LCM(49,48,638,333) = ( 49 × 48 × 638 × 333 ) / 6

LCM(49,48,638,333) = 499691808 / 6

LCM(49,48,638,333) = 83281968


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 1/49, 22/48, 80/638, 665/333

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 1/49, 22/48, 80/638, 665/333?

Answer: GCF of Numerators as per given numbers 1/49, 22/48, 80/638, 665/333 is

GCF of Numerators i.e. for 1,22,80,665 is 1

LCM of denominators i.e. for 49,48,638,333 is 83281968.

Thus, GCF of Fractions is 1/83281968.Finally, GCF of Fractions for 1/49, 22/48, 80/638, 665/333 is 1/83281968.