Greatest Common Factor of 5/55, 47/43, 90/413, 798/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/55, 47/43, 90/413, 798/661

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 5/55,47/43,90/413,798/661

Given fractions are 5/55,47/43,90/413,798/661

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 5,47,90,798

Greatest Common Factor of Numerators i.e. GCF of 5,47,90,798 is 1 .

LCM of Denominators means LCM of 55,43,413,661 as per the given fractions.

LCM of 55,43,413,661 is 645628445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,47,90,798

GCF of Fractions 5/55,47/43,90/413,798/661 is 1/645628445

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

Greatest Common Factor of 5,47,90,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,47,90,798 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 5,47,90,798 . The biggest common factor number is the GCF number.
So the greatest common factor 5,47,90,798 is 1.

Lets's calculate LCM of 55,43,413,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 645628445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645628445

Therefore, the GCF of Fractions 5/55,47/43,90/413,798/661 is 1/645628445

Least Common Multiple of 55,43,413,661 with GCF Formula

Least Common Multiple of 55,43,413,661 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 55,43,413,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,43,413,661) = 1

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

GCF(55,43,413,661) x common factors =1 x 1 = 1

LCM(55,43,413,661) = ( 55 × 43 × 413 × 661 ) / 1

LCM(55,43,413,661) = 645628445 / 1

LCM(55,43,413,661) = 645628445


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 5/55, 47/43, 90/413, 798/661

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 5/55, 47/43, 90/413, 798/661?

Answer: GCF of Numerators as per given numbers 5/55, 47/43, 90/413, 798/661 is

GCF of Numerators i.e. for 5,47,90,798 is 1

LCM of denominators i.e. for 55,43,413,661 is 645628445.

Thus, GCF of Fractions is 1/645628445.Finally, GCF of Fractions for 5/55, 47/43, 90/413, 798/661 is 1/645628445.