Greatest Common Factor of 3447/79, 7688/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3447/79, 7688/579

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 3447/79,7688/579

Given fractions are 3447/79,7688/579

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 3447,7688

Greatest Common Factor of Numerators i.e. GCF of 3447,7688 is 1 .

LCM of Denominators means LCM of 79,579 as per the given fractions.

LCM of 79,579 is 45741 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3447,7688

GCF of Fractions 3447/79,7688/579 is 1/45741

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

Greatest Common Factor of 3447,7688 By Matching Biggest Common Factor Method

Greatest Common Factor of 3447,7688 By Matching Biggest Common Factor Method

Factors of 3447

List of positive integer factors of 3447 that divides 3447 without a remainder.

1,3,9,383,1149,3447

Factors of 7688

List of positive integer factors of 7688 that divides 7688 without a remainder.

1,2,4,8,31,62,124,248,961,1922,3844,7688

Greatest Common Factor

We found the factors 3447,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 3447,7688 is 1.

Lets's calculate LCM of 79,579

Given numbers has no common factors except 1. So, there LCM is their product i.e 45741

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45741

Therefore, the GCF of Fractions 3447/79,7688/579 is 1/45741

Least Common Multiple of 79,579 with GCF Formula

Least Common Multiple of 79,579 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 79,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,579) = 1

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

GCF(79,579) x common factors =1 x 1 = 1

LCM(79,579) = ( 79 × 579 ) / 1

LCM(79,579) = 45741 / 1

LCM(79,579) = 45741


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 3447/79, 7688/579

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 3447/79, 7688/579?

Answer: GCF of Numerators as per given numbers 3447/79, 7688/579 is

GCF of Numerators i.e. for 3447,7688 is 1

LCM of denominators i.e. for 79,579 is 45741.

Thus, GCF of Fractions is 1/45741.Finally, GCF of Fractions for 3447/79, 7688/579 is 1/45741.