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GCF of 8563/397, 5747/371

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 8563/397, 5747/371 i.e 1/147287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8563/397, 5747/371.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 8563/397,5747/371?

Given fractions are 8563/397,5747/371

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 8563/397,5747/371, numerators are 8563,5747

Denominators are 397,371

The GCF of 8563,5747 is 1 .

LCM of 397,371 is 147287.

The greatest common factor of 8563/397,5747/371 = [GCF of 8563,5747]/[LCM of 397,371]= 1/147287

Therefore, the GCF of 8563/397,5747/371 is 1/147287.

Greatest Common Factor of 8563,5747

To find the highest common factor of 8563,5747, we have to find the factors of both numbers and list the highest common factor.

The factors of 8563 are 1, 8563

The factors of 5747 are 1, 7, 821, 5747

The HCF of 8563,5747 is 1.

Lets's calculate GCF of 8563,5747

Greatest Common Factor (GCF) of 8563,5747 By Common Division

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

Greatest Common Factor of 8563,5747 By Matching Biggest Common Factor Method

Greatest Common Factor of 8563,5747 By Matching Biggest Common Factor Method

Now, list down the factors of 8563

:

1,8563

Now, list down the factors of 5747

:

1,7,821,5747

Greatest Common Factor

We found the factors 8563,5747 . The biggest common factor number is the GCF number.
So the greatest common factor 8563,5747 is 1.

Lets's calculate LCM of 397,371

Lowest Common Multiple of 397,371 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 147287

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147287

Therefore, the GCF of Fractions 8563/397,5747/371 is 1/147287

Least Common Multiple of 397,371 with GCF Formula

Least Common Multiple of 397,371 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 397,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,371) = 1

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

GCF(397,371) x common factors =1 x 1 = 1

LCM(397,371) = ( 397 × 371 ) / 1

LCM(397,371) = 147287 / 1

LCM(397,371) = 147287


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FAQs on GCF of Fractions of 8563/397, 5747/371

1. What is the HCF of 8563,5747?

The HCF of 8563,5747 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 8563/397, 5747/371?

Answer: GCF of Numerators as per given numbers 8563/397, 5747/371 is

GCF of Numerators i.e. for 8563,5747 is 1

LCM of denominators i.e. for 397,371 is 147287.

Thus, GCF of Fractions is 1/147287.Finally, GCF of Fractions for 8563/397, 5747/371 is 1/147287.