Greatest Common Factor of 5979/519, 7069/7117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5979/519, 7069/7117

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 5979/519,7069/7117

Given fractions are 5979/519,7069/7117

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 5979,7069

Greatest Common Factor of Numerators i.e. GCF of 5979,7069 is 1 .

LCM of Denominators means LCM of 519,7117 as per the given fractions.

LCM of 519,7117 is 3693723 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5979,7069

GCF of Fractions 5979/519,7069/7117 is 1/3693723

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

Greatest Common Factor of 5979,7069 By Matching Biggest Common Factor Method

Greatest Common Factor of 5979,7069 By Matching Biggest Common Factor Method

Factors of 5979

List of positive integer factors of 5979 that divides 5979 without a remainder.

1,3,1993,5979

Factors of 7069

List of positive integer factors of 7069 that divides 7069 without a remainder.

1,7069

Greatest Common Factor

We found the factors 5979,7069 . The biggest common factor number is the GCF number.
So the greatest common factor 5979,7069 is 1.

Lets's calculate LCM of 519,7117

Given numbers has no common factors except 1. So, there LCM is their product i.e 3693723

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3693723

Therefore, the GCF of Fractions 5979/519,7069/7117 is 1/3693723

Least Common Multiple of 519,7117 with GCF Formula

Least Common Multiple of 519,7117 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 519,7117 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,7117) = 1

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

GCF(519,7117) x common factors =1 x 1 = 1

LCM(519,7117) = ( 519 × 7117 ) / 1

LCM(519,7117) = 3693723 / 1

LCM(519,7117) = 3693723


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 5979/519, 7069/7117

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 5979/519, 7069/7117?

Answer: GCF of Numerators as per given numbers 5979/519, 7069/7117 is

GCF of Numerators i.e. for 5979,7069 is 1

LCM of denominators i.e. for 519,7117 is 3693723.

Thus, GCF of Fractions is 1/3693723.Finally, GCF of Fractions for 5979/519, 7069/7117 is 1/3693723.