How to Find GCF of 8916/619, 6079/7597?

GCF of 8916/619, 6079/7597

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8916/619, 6079/7597 i.e 1/4702543 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8916/619, 6079/7597.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 8916/619,6079/7597?

Given fractions are 8916/619,6079/7597

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 8916/619,6079/7597, numerators are 8916,6079

Denominators are 619,7597

The GCF of 8916,6079 is 1 .

LCM of 619,7597 is 4702543.

The greatest common factor of 8916/619,6079/7597 = [GCF of 8916,6079]/[LCM of 619,7597]= 1/4702543

Therefore, the GCF of 8916/619,6079/7597 is 1/4702543.

Greatest Common Factor of 8916,6079

To find the highest common factor of 8916,6079, we have to find the factors of both numbers and list the highest common factor.

The factors of 8916 are 1, 2, 3, 4, 6, 12, 743, 1486, 2229, 2972, 4458, 8916

The factors of 6079 are 1, 6079

The HCF of 8916,6079 is 1.

Lets's calculate GCF of 8916,6079

Greatest Common Factor (GCF) of 8916,6079 By Common Division

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

Greatest Common Factor of 8916,6079 By Matching Biggest Common Factor Method

Now, list down the factors of 8916

1,2,3,4,6,12,743,1486,2229,2972,4458,8916

Now, list down the factors of 6079

1,6079

Greatest Common Factor

We found the factors 8916,6079 . The biggest common factor number is the GCF number.
So the greatest common factor 8916,6079 is 1.

Lets's calculate LCM of 619,7597

Lowest Common Multiple of 619,7597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4702543

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4702543

Therefore, the GCF of Fractions 8916/619,6079/7597 is 1/4702543

Least Common Multiple of 619,7597 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 619,7597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,7597) = 1

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

GCF(619,7597) x common factors =1 x 1 = 1

LCM(619,7597) = ( 619 × 7597 ) / 1

LCM(619,7597) = 4702543 / 1

LCM(619,7597) = 4702543

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8916/619, 6079/7597

1. What is the HCF of 8916,6079?

The HCF of 8916,6079 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 8916/619, 6079/7597?

Answer: GCF of Numerators as per given numbers 8916/619, 6079/7597 is

GCF of Numerators i.e. for 8916,6079 is 1

LCM of denominators i.e. for 619,7597 is 4702543.

Thus, GCF of Fractions is 1/4702543.Finally, GCF of Fractions for 8916/619, 6079/7597 is 1/4702543.