Greatest Common Factor of 55/16, 719/88, 915/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/16, 719/88, 915/149

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 55/16,719/88,915/149

Given fractions are 55/16,719/88,915/149

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 55,719,915

Greatest Common Factor of Numerators i.e. GCF of 55,719,915 is 1 .

LCM of Denominators means LCM of 16,88,149 as per the given fractions.

LCM of 16,88,149 is 26224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,719,915

GCF of Fractions 55/16,719/88,915/149 is 1/26224

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

Greatest Common Factor of 55,719,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,719,915 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 55,719,915 . The biggest common factor number is the GCF number.
So the greatest common factor 55,719,915 is 1.

Lets's calculate LCM of 16,88,149

2 16, 88, 149
2 8, 44, 149
2 4, 22, 149
2, 11, 149

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 11 x 149 = 26224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26224

Therefore, the GCF of Fractions 55/16,719/88,915/149 is 1/26224

Least Common Multiple of 16,88,149 with GCF Formula

Least Common Multiple of 16,88,149 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 16,88,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,88,149) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(16,88,149) x common factors =1 x 8 = 8

LCM(16,88,149) = ( 16 × 88 × 149 ) / 8

LCM(16,88,149) = 209792 / 8

LCM(16,88,149) = 26224


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 55/16, 719/88, 915/149

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 55/16, 719/88, 915/149?

Answer: GCF of Numerators as per given numbers 55/16, 719/88, 915/149 is

GCF of Numerators i.e. for 55,719,915 is 1

LCM of denominators i.e. for 16,88,149 is 26224.

Thus, GCF of Fractions is 1/26224.Finally, GCF of Fractions for 55/16, 719/88, 915/149 is 1/26224.