Greatest Common Factor of 9019/418, 9650/707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9019/418, 9650/707

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 9019/418,9650/707

Given fractions are 9019/418,9650/707

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 9019,9650

Greatest Common Factor of Numerators i.e. GCF of 9019,9650 is 1 .

LCM of Denominators means LCM of 418,707 as per the given fractions.

LCM of 418,707 is 295526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9019,9650

GCF of Fractions 9019/418,9650/707 is 1/295526

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

Greatest Common Factor of 9019,9650 By Matching Biggest Common Factor Method

Greatest Common Factor of 9019,9650 By Matching Biggest Common Factor Method

Factors of 9019

List of positive integer factors of 9019 that divides 9019 without a remainder.

1,29,311,9019

Factors of 9650

List of positive integer factors of 9650 that divides 9650 without a remainder.

1,2,5,10,25,50,193,386,965,1930,4825,9650

Greatest Common Factor

We found the factors 9019,9650 . The biggest common factor number is the GCF number.
So the greatest common factor 9019,9650 is 1.

Lets's calculate LCM of 418,707

Given numbers has no common factors except 1. So, there LCM is their product i.e 295526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295526

Therefore, the GCF of Fractions 9019/418,9650/707 is 1/295526

Least Common Multiple of 418,707 with GCF Formula

Least Common Multiple of 418,707 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 418,707 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(418,707) = 1

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

GCF(418,707) x common factors =1 x 1 = 1

LCM(418,707) = ( 418 × 707 ) / 1

LCM(418,707) = 295526 / 1

LCM(418,707) = 295526


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 9019/418, 9650/707

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 9019/418, 9650/707?

Answer: GCF of Numerators as per given numbers 9019/418, 9650/707 is

GCF of Numerators i.e. for 9019,9650 is 1

LCM of denominators i.e. for 418,707 is 295526.

Thus, GCF of Fractions is 1/295526.Finally, GCF of Fractions for 9019/418, 9650/707 is 1/295526.