Greatest Common Factor of 88/61, 51/31, 559/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/61, 51/31, 559/15

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 88/61,51/31,559/15

Given fractions are 88/61,51/31,559/15

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 88,51,559

Greatest Common Factor of Numerators i.e. GCF of 88,51,559 is 1 .

LCM of Denominators means LCM of 61,31,15 as per the given fractions.

LCM of 61,31,15 is 28365 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,51,559

GCF of Fractions 88/61,51/31,559/15 is 1/28365

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

Greatest Common Factor of 88,51,559 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,51,559 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Greatest Common Factor

We found the factors 88,51,559 . The biggest common factor number is the GCF number.
So the greatest common factor 88,51,559 is 1.

Lets's calculate LCM of 61,31,15

Given numbers has no common factors except 1. So, there LCM is their product i.e 28365

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28365

Therefore, the GCF of Fractions 88/61,51/31,559/15 is 1/28365

Least Common Multiple of 61,31,15 with GCF Formula

Least Common Multiple of 61,31,15 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 61,31,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,31,15) = 1

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

GCF(61,31,15) x common factors =1 x 1 = 1

LCM(61,31,15) = ( 61 × 31 × 15 ) / 1

LCM(61,31,15) = 28365 / 1

LCM(61,31,15) = 28365


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 88/61, 51/31, 559/15

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 88/61, 51/31, 559/15?

Answer: GCF of Numerators as per given numbers 88/61, 51/31, 559/15 is

GCF of Numerators i.e. for 88,51,559 is 1

LCM of denominators i.e. for 61,31,15 is 28365.

Thus, GCF of Fractions is 1/28365.Finally, GCF of Fractions for 88/61, 51/31, 559/15 is 1/28365.