How to Find GCF of 8561/976, 6995/6353?

GCF of 8561/976, 6995/6353

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 8561/976, 6995/6353 i.e 1/6200528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8561/976, 6995/6353.

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 8561/976,6995/6353?

Given fractions are 8561/976,6995/6353

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 8561/976,6995/6353, numerators are 8561,6995

Denominators are 976,6353

The GCF of 8561,6995 is 1 .

LCM of 976,6353 is 6200528.

The greatest common factor of 8561/976,6995/6353 = [GCF of 8561,6995]/[LCM of 976,6353]= 1/6200528

Therefore, the GCF of 8561/976,6995/6353 is 1/6200528.

Greatest Common Factor of 8561,6995

To find the highest common factor of 8561,6995, we have to find the factors of both numbers and list the highest common factor.

The factors of 8561 are 1, 7, 1223, 8561

The factors of 6995 are 1, 5, 1399, 6995

The HCF of 8561,6995 is 1.

Lets's calculate GCF of 8561,6995

Greatest Common Factor (GCF) of 8561,6995 By Common Division

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

Greatest Common Factor of 8561,6995 By Matching Biggest Common Factor Method

Now, list down the factors of 8561

1,7,1223,8561

Now, list down the factors of 6995

1,5,1399,6995

Greatest Common Factor

We found the factors 8561,6995 . The biggest common factor number is the GCF number.
So the greatest common factor 8561,6995 is 1.

Lets's calculate LCM of 976,6353

Lowest Common Multiple of 976,6353 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6200528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6200528

Therefore, the GCF of Fractions 8561/976,6995/6353 is 1/6200528

Least Common Multiple of 976,6353 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 976,6353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,6353) = 1

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

GCF(976,6353) x common factors =1 x 1 = 1

LCM(976,6353) = ( 976 × 6353 ) / 1

LCM(976,6353) = 6200528 / 1

LCM(976,6353) = 6200528

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FAQs on GCF of Fractions of 8561/976, 6995/6353

1. What is the HCF of 8561,6995?

The HCF of 8561,6995 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 8561/976, 6995/6353?

Answer: GCF of Numerators as per given numbers 8561/976, 6995/6353 is

GCF of Numerators i.e. for 8561,6995 is 1

LCM of denominators i.e. for 976,6353 is 6200528.

Thus, GCF of Fractions is 1/6200528.Finally, GCF of Fractions for 8561/976, 6995/6353 is 1/6200528.