How to Find GCF of 7061/909, 8679/7213?

GCF of 7061/909, 8679/7213

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 7061/909, 8679/7213 i.e 1/6556617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7061/909, 8679/7213.

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 7061/909,8679/7213?

Given fractions are 7061/909,8679/7213

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 7061/909,8679/7213, numerators are 7061,8679

Denominators are 909,7213

The GCF of 7061,8679 is 1 .

LCM of 909,7213 is 6556617.

The greatest common factor of 7061/909,8679/7213 = [GCF of 7061,8679]/[LCM of 909,7213]= 1/6556617

Therefore, the GCF of 7061/909,8679/7213 is 1/6556617.

Greatest Common Factor of 7061,8679

To find the highest common factor of 7061,8679, we have to find the factors of both numbers and list the highest common factor.

The factors of 7061 are 1, 23, 307, 7061

The factors of 8679 are 1, 3, 11, 33, 263, 789, 2893, 8679

The HCF of 7061,8679 is 1.

Lets's calculate GCF of 7061,8679

Greatest Common Factor (GCF) of 7061,8679 By Common Division

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

Greatest Common Factor of 7061,8679 By Matching Biggest Common Factor Method

Now, list down the factors of 7061

1,23,307,7061

Now, list down the factors of 8679

1,3,11,33,263,789,2893,8679

Greatest Common Factor

We found the factors 7061,8679 . The biggest common factor number is the GCF number.
So the greatest common factor 7061,8679 is 1.

Lets's calculate LCM of 909,7213

Lowest Common Multiple of 909,7213 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6556617

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6556617

Therefore, the GCF of Fractions 7061/909,8679/7213 is 1/6556617

Least Common Multiple of 909,7213 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 909,7213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(909,7213) = 1

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

GCF(909,7213) x common factors =1 x 1 = 1

LCM(909,7213) = ( 909 × 7213 ) / 1

LCM(909,7213) = 6556617 / 1

LCM(909,7213) = 6556617

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FAQs on GCF of Fractions of 7061/909, 8679/7213

1. What is the HCF of 7061,8679?

The HCF of 7061,8679 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 7061/909, 8679/7213?

Answer: GCF of Numerators as per given numbers 7061/909, 8679/7213 is

GCF of Numerators i.e. for 7061,8679 is 1

LCM of denominators i.e. for 909,7213 is 6556617.

Thus, GCF of Fractions is 1/6556617.Finally, GCF of Fractions for 7061/909, 8679/7213 is 1/6556617.