Greatest Common Factor of 6719/529, 9150/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6719/529, 9150/297

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 6719/529,9150/297

Given fractions are 6719/529,9150/297

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 6719,9150

Greatest Common Factor of Numerators i.e. GCF of 6719,9150 is 1 .

LCM of Denominators means LCM of 529,297 as per the given fractions.

LCM of 529,297 is 157113 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6719,9150

GCF of Fractions 6719/529,9150/297 is 1/157113

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

Greatest Common Factor of 6719,9150 By Matching Biggest Common Factor Method

Greatest Common Factor of 6719,9150 By Matching Biggest Common Factor Method

Factors of 6719

List of positive integer factors of 6719 that divides 6719 without a remainder.

1,6719

Factors of 9150

List of positive integer factors of 9150 that divides 9150 without a remainder.

1,2,3,5,6,10,15,25,30,50,61,75,122,150,183,305,366,610,915,1525,1830,3050,4575,9150

Greatest Common Factor

We found the factors 6719,9150 . The biggest common factor number is the GCF number.
So the greatest common factor 6719,9150 is 1.

Lets's calculate LCM of 529,297

Given numbers has no common factors except 1. So, there LCM is their product i.e 157113

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157113

Therefore, the GCF of Fractions 6719/529,9150/297 is 1/157113

Least Common Multiple of 529,297 with GCF Formula

Least Common Multiple of 529,297 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 529,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,297) = 1

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

GCF(529,297) x common factors =1 x 1 = 1

LCM(529,297) = ( 529 × 297 ) / 1

LCM(529,297) = 157113 / 1

LCM(529,297) = 157113


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 6719/529, 9150/297

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 6719/529, 9150/297?

Answer: GCF of Numerators as per given numbers 6719/529, 9150/297 is

GCF of Numerators i.e. for 6719,9150 is 1

LCM of denominators i.e. for 529,297 is 157113.

Thus, GCF of Fractions is 1/157113.Finally, GCF of Fractions for 6719/529, 9150/297 is 1/157113.