How to Find GCF of 8689/242, 6079/3197?

GCF of 8689/242, 6079/3197

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 8689/242, 6079/3197 i.e 1/773674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8689/242, 6079/3197.

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 8689/242,6079/3197?

Given fractions are 8689/242,6079/3197

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 8689/242,6079/3197, numerators are 8689,6079

Denominators are 242,3197

The GCF of 8689,6079 is 1 .

LCM of 242,3197 is 773674.

The greatest common factor of 8689/242,6079/3197 = [GCF of 8689,6079]/[LCM of 242,3197]= 1/773674

Therefore, the GCF of 8689/242,6079/3197 is 1/773674.

Greatest Common Factor of 8689,6079

To find the highest common factor of 8689,6079, we have to find the factors of both numbers and list the highest common factor.

The factors of 8689 are 1, 8689

The factors of 6079 are 1, 6079

The HCF of 8689,6079 is 1.

Lets's calculate GCF of 8689,6079

Greatest Common Factor (GCF) of 8689,6079 By Common Division

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

Greatest Common Factor of 8689,6079 By Matching Biggest Common Factor Method

Now, list down the factors of 8689

1,8689

Now, list down the factors of 6079

1,6079

Greatest Common Factor

We found the factors 8689,6079 . The biggest common factor number is the GCF number.
So the greatest common factor 8689,6079 is 1.

Lets's calculate LCM of 242,3197

Lowest Common Multiple of 242,3197 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 773674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773674

Therefore, the GCF of Fractions 8689/242,6079/3197 is 1/773674

Least Common Multiple of 242,3197 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 242,3197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,3197) = 1

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

GCF(242,3197) x common factors =1 x 1 = 1

LCM(242,3197) = ( 242 × 3197 ) / 1

LCM(242,3197) = 773674 / 1

LCM(242,3197) = 773674

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FAQs on GCF of Fractions of 8689/242, 6079/3197

1. What is the HCF of 8689,6079?

The HCF of 8689,6079 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 8689/242, 6079/3197?

Answer: GCF of Numerators as per given numbers 8689/242, 6079/3197 is

GCF of Numerators i.e. for 8689,6079 is 1

LCM of denominators i.e. for 242,3197 is 773674.

Thus, GCF of Fractions is 1/773674.Finally, GCF of Fractions for 8689/242, 6079/3197 is 1/773674.