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GCF of 627/23, 442/591

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 627/23, 442/591 i.e 1/13593 easily. The following is the detailed procedure to determine the greatest common factor of fractions 627/23, 442/591.

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 627/23,442/591?

Given fractions are 627/23,442/591

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 627/23,442/591, numerators are 627,442

Denominators are 23,591

The GCF of 627,442 is 1 .

LCM of 23,591 is 13593.

The greatest common factor of 627/23,442/591 = [GCF of 627,442]/[LCM of 23,591]= 1/13593

Therefore, the GCF of 627/23,442/591 is 1/13593.

Greatest Common Factor of 627,442

To find the highest common factor of 627,442, we have to find the factors of both numbers and list the highest common factor.

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The HCF of 627,442 is 1.

Lets's calculate GCF of 627,442

Greatest Common Factor (GCF) of 627,442 By Common Division

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

Greatest Common Factor of 627,442 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,442 By Matching Biggest Common Factor Method

Now, list down the factors of 627

:

1,3,11,19,33,57,209,627

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Greatest Common Factor

We found the factors 627,442 . The biggest common factor number is the GCF number.
So the greatest common factor 627,442 is 1.

Lets's calculate LCM of 23,591

Lowest Common Multiple of 23,591 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 13593

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13593

Therefore, the GCF of Fractions 627/23,442/591 is 1/13593

Least Common Multiple of 23,591 with GCF Formula

Least Common Multiple of 23,591 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 23,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,591) = 1

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

GCF(23,591) x common factors =1 x 1 = 1

LCM(23,591) = ( 23 × 591 ) / 1

LCM(23,591) = 13593 / 1

LCM(23,591) = 13593


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FAQs on GCF of Fractions of 627/23, 442/591

1. What is the HCF of 627,442?

The HCF of 627,442 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 627/23, 442/591?

Answer: GCF of Numerators as per given numbers 627/23, 442/591 is

GCF of Numerators i.e. for 627,442 is 1

LCM of denominators i.e. for 23,591 is 13593.

Thus, GCF of Fractions is 1/13593.Finally, GCF of Fractions for 627/23, 442/591 is 1/13593.