Greatest Common Factor of 14/151, 599/710, 529/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/151, 599/710, 529/955

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 14/151,599/710,529/955

Given fractions are 14/151,599/710,529/955

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 14,599,529

Greatest Common Factor of Numerators i.e. GCF of 14,599,529 is 1 .

LCM of Denominators means LCM of 151,710,955 as per the given fractions.

LCM of 151,710,955 is 20477110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,599,529

GCF of Fractions 14/151,599/710,529/955 is 1/20477110

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

Greatest Common Factor of 14,599,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,599,529 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 14,599,529 . The biggest common factor number is the GCF number.
So the greatest common factor 14,599,529 is 1.

Lets's calculate LCM of 151,710,955

5 151, 710, 955
151, 142, 191

∴ So the LCM of the given numbers is 5 x 151 x 142 x 191 = 20477110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20477110

Therefore, the GCF of Fractions 14/151,599/710,529/955 is 1/20477110

Least Common Multiple of 151,710,955 with GCF Formula

Least Common Multiple of 151,710,955 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 151,710,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,710,955) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(151,710,955) x common factors =1 x 5 = 5

LCM(151,710,955) = ( 151 × 710 × 955 ) / 5

LCM(151,710,955) = 102385550 / 5

LCM(151,710,955) = 20477110


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 14/151, 599/710, 529/955

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 14/151, 599/710, 529/955?

Answer: GCF of Numerators as per given numbers 14/151, 599/710, 529/955 is

GCF of Numerators i.e. for 14,599,529 is 1

LCM of denominators i.e. for 151,710,955 is 20477110.

Thus, GCF of Fractions is 1/20477110.Finally, GCF of Fractions for 14/151, 599/710, 529/955 is 1/20477110.