Greatest Common Factor of 619/491, 7001/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 619/491, 7001/917

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 619/491,7001/917

Given fractions are 619/491,7001/917

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 619,7001

Greatest Common Factor of Numerators i.e. GCF of 619,7001 is 1 .

LCM of Denominators means LCM of 491,917 as per the given fractions.

LCM of 491,917 is 450247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 619,7001

GCF of Fractions 619/491,7001/917 is 1/450247

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

Greatest Common Factor of 619,7001 By Matching Biggest Common Factor Method

Greatest Common Factor of 619,7001 By Matching Biggest Common Factor Method

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 7001

List of positive integer factors of 7001 that divides 7001 without a remainder.

1,7001

Greatest Common Factor

We found the factors 619,7001 . The biggest common factor number is the GCF number.
So the greatest common factor 619,7001 is 1.

Lets's calculate LCM of 491,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 450247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/450247

Therefore, the GCF of Fractions 619/491,7001/917 is 1/450247

Least Common Multiple of 491,917 with GCF Formula

Least Common Multiple of 491,917 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 491,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,917) = 1

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

GCF(491,917) x common factors =1 x 1 = 1

LCM(491,917) = ( 491 × 917 ) / 1

LCM(491,917) = 450247 / 1

LCM(491,917) = 450247


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 619/491, 7001/917

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 619/491, 7001/917?

Answer: GCF of Numerators as per given numbers 619/491, 7001/917 is

GCF of Numerators i.e. for 619,7001 is 1

LCM of denominators i.e. for 491,917 is 450247.

Thus, GCF of Fractions is 1/450247.Finally, GCF of Fractions for 619/491, 7001/917 is 1/450247.