Greatest Common Factor of 665/925, 1519/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 665/925, 1519/668

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 665/925,1519/668

Given fractions are 665/925,1519/668

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 665,1519

Greatest Common Factor of Numerators i.e. GCF of 665,1519 is 7 .

LCM of Denominators means LCM of 925,668 as per the given fractions.

LCM of 925,668 is 617900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 665,1519

GCF of Fractions 665/925,1519/668 is 7/617900

7 665, 1519
95, 217

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 665,1519 By Matching Biggest Common Factor Method

Greatest Common Factor of 665,1519 By Matching Biggest Common Factor Method

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Factors of 1519

List of positive integer factors of 1519 that divides 1519 without a remainder.

1,7,31,49,217,1519

Greatest Common Factor

We found the factors 665,1519 . The biggest common factor number is the GCF number.
So the greatest common factor 665,1519 is 7.

Lets's calculate LCM of 925,668

Given numbers has no common factors except 1. So, there LCM is their product i.e 617900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/617900

Therefore, the GCF of Fractions 665/925,1519/668 is 7/617900

Least Common Multiple of 925,668 with GCF Formula

Least Common Multiple of 925,668 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 925,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,668) = 1

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

GCF(925,668) x common factors =1 x 1 = 1

LCM(925,668) = ( 925 × 668 ) / 1

LCM(925,668) = 617900 / 1

LCM(925,668) = 617900


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 665/925, 1519/668

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 665/925, 1519/668?

Answer: GCF of Numerators as per given numbers 665/925, 1519/668 is

GCF of Numerators i.e. for 665,1519 is 7

LCM of denominators i.e. for 925,668 is 617900.

Thus, GCF of Fractions is 7/617900.Finally, GCF of Fractions for 665/925, 1519/668 is 7/617900.