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GCF of 614/11, 571/563

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 614/11, 571/563 i.e 1/6193 easily. The following is the detailed procedure to determine the greatest common factor of fractions 614/11, 571/563.

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 614/11,571/563?

Given fractions are 614/11,571/563

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 614/11,571/563, numerators are 614,571

Denominators are 11,563

The GCF of 614,571 is 1 .

LCM of 11,563 is 6193.

The greatest common factor of 614/11,571/563 = [GCF of 614,571]/[LCM of 11,563]= 1/6193

Therefore, the GCF of 614/11,571/563 is 1/6193.

Greatest Common Factor of 614,571

To find the highest common factor of 614,571, we have to find the factors of both numbers and list the highest common factor.

The factors of 614 are 1, 2, 307, 614

The factors of 571 are 1, 571

The HCF of 614,571 is 1.

Lets's calculate GCF of 614,571

Greatest Common Factor (GCF) of 614,571 By Common Division

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

Greatest Common Factor of 614,571 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,571 By Matching Biggest Common Factor Method

Now, list down the factors of 614

:

1,2,307,614

Now, list down the factors of 571

:

1,571

Greatest Common Factor

We found the factors 614,571 . The biggest common factor number is the GCF number.
So the greatest common factor 614,571 is 1.

Lets's calculate LCM of 11,563

Lowest Common Multiple of 11,563 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6193

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6193

Therefore, the GCF of Fractions 614/11,571/563 is 1/6193

Least Common Multiple of 11,563 with GCF Formula

Least Common Multiple of 11,563 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 11,563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,563) = 1

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

GCF(11,563) x common factors =1 x 1 = 1

LCM(11,563) = ( 11 × 563 ) / 1

LCM(11,563) = 6193 / 1

LCM(11,563) = 6193


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FAQs on GCF of Fractions of 614/11, 571/563

1. What is the HCF of 614,571?

The HCF of 614,571 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 614/11, 571/563?

Answer: GCF of Numerators as per given numbers 614/11, 571/563 is

GCF of Numerators i.e. for 614,571 is 1

LCM of denominators i.e. for 11,563 is 6193.

Thus, GCF of Fractions is 1/6193.Finally, GCF of Fractions for 614/11, 571/563 is 1/6193.