Greatest Common Factor of 61/51, 63/37, 279/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 61/51, 63/37, 279/898

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 61/51,63/37,279/898

Given fractions are 61/51,63/37,279/898

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 61,63,279

Greatest Common Factor of Numerators i.e. GCF of 61,63,279 is 1 .

LCM of Denominators means LCM of 51,37,898 as per the given fractions.

LCM of 51,37,898 is 1694526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 61,63,279

GCF of Fractions 61/51,63/37,279/898 is 1/1694526

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

Greatest Common Factor of 61,63,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,63,279 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 61,63,279 . The biggest common factor number is the GCF number.
So the greatest common factor 61,63,279 is 1.

Lets's calculate LCM of 51,37,898

Given numbers has no common factors except 1. So, there LCM is their product i.e 1694526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1694526

Therefore, the GCF of Fractions 61/51,63/37,279/898 is 1/1694526

Least Common Multiple of 51,37,898 with GCF Formula

Least Common Multiple of 51,37,898 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 51,37,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,37,898) = 1

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

GCF(51,37,898) x common factors =1 x 1 = 1

LCM(51,37,898) = ( 51 × 37 × 898 ) / 1

LCM(51,37,898) = 1694526 / 1

LCM(51,37,898) = 1694526


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 61/51, 63/37, 279/898

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 61/51, 63/37, 279/898?

Answer: GCF of Numerators as per given numbers 61/51, 63/37, 279/898 is

GCF of Numerators i.e. for 61,63,279 is 1

LCM of denominators i.e. for 51,37,898 is 1694526.

Thus, GCF of Fractions is 1/1694526.Finally, GCF of Fractions for 61/51, 63/37, 279/898 is 1/1694526.