Greatest Common Factor of 4701/723, 3979/9619

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4701/723, 3979/9619

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 4701/723,3979/9619

Given fractions are 4701/723,3979/9619

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 4701,3979

Greatest Common Factor of Numerators i.e. GCF of 4701,3979 is 1 .

LCM of Denominators means LCM of 723,9619 as per the given fractions.

LCM of 723,9619 is 6954537 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4701,3979

GCF of Fractions 4701/723,3979/9619 is 1/6954537

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

Greatest Common Factor of 4701,3979 By Matching Biggest Common Factor Method

Greatest Common Factor of 4701,3979 By Matching Biggest Common Factor Method

Factors of 4701

List of positive integer factors of 4701 that divides 4701 without a remainder.

1,3,1567,4701

Factors of 3979

List of positive integer factors of 3979 that divides 3979 without a remainder.

1,23,173,3979

Greatest Common Factor

We found the factors 4701,3979 . The biggest common factor number is the GCF number.
So the greatest common factor 4701,3979 is 1.

Lets's calculate LCM of 723,9619

Given numbers has no common factors except 1. So, there LCM is their product i.e 6954537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6954537

Therefore, the GCF of Fractions 4701/723,3979/9619 is 1/6954537

Least Common Multiple of 723,9619 with GCF Formula

Least Common Multiple of 723,9619 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 723,9619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,9619) = 1

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

GCF(723,9619) x common factors =1 x 1 = 1

LCM(723,9619) = ( 723 × 9619 ) / 1

LCM(723,9619) = 6954537 / 1

LCM(723,9619) = 6954537


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 4701/723, 3979/9619

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 4701/723, 3979/9619?

Answer: GCF of Numerators as per given numbers 4701/723, 3979/9619 is

GCF of Numerators i.e. for 4701,3979 is 1

LCM of denominators i.e. for 723,9619 is 6954537.

Thus, GCF of Fractions is 1/6954537.Finally, GCF of Fractions for 4701/723, 3979/9619 is 1/6954537.