Greatest Common Factor of 919/567, 8497/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 919/567, 8497/674

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 919/567,8497/674

Given fractions are 919/567,8497/674

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 919,8497

Greatest Common Factor of Numerators i.e. GCF of 919,8497 is 1 .

LCM of Denominators means LCM of 567,674 as per the given fractions.

LCM of 567,674 is 382158 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 919,8497

GCF of Fractions 919/567,8497/674 is 1/382158

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

Greatest Common Factor of 919,8497 By Matching Biggest Common Factor Method

Greatest Common Factor of 919,8497 By Matching Biggest Common Factor Method

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Factors of 8497

List of positive integer factors of 8497 that divides 8497 without a remainder.

1,29,293,8497

Greatest Common Factor

We found the factors 919,8497 . The biggest common factor number is the GCF number.
So the greatest common factor 919,8497 is 1.

Lets's calculate LCM of 567,674

Given numbers has no common factors except 1. So, there LCM is their product i.e 382158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/382158

Therefore, the GCF of Fractions 919/567,8497/674 is 1/382158

Least Common Multiple of 567,674 with GCF Formula

Least Common Multiple of 567,674 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 567,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,674) = 1

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

GCF(567,674) x common factors =1 x 1 = 1

LCM(567,674) = ( 567 × 674 ) / 1

LCM(567,674) = 382158 / 1

LCM(567,674) = 382158


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 919/567, 8497/674

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 919/567, 8497/674?

Answer: GCF of Numerators as per given numbers 919/567, 8497/674 is

GCF of Numerators i.e. for 919,8497 is 1

LCM of denominators i.e. for 567,674 is 382158.

Thus, GCF of Fractions is 1/382158.Finally, GCF of Fractions for 919/567, 8497/674 is 1/382158.