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GCF of 621/28, 598/257

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 621/28, 598/257 i.e 23/7196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 621/28, 598/257.

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 621/28,598/257?

Given fractions are 621/28,598/257

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 621/28,598/257, numerators are 621,598

Denominators are 28,257

The GCF of 621,598 is 23 .

LCM of 28,257 is 7196.

The greatest common factor of 621/28,598/257 = [GCF of 621,598]/[LCM of 28,257]= 23/7196

Therefore, the GCF of 621/28,598/257 is 23/7196.

Greatest Common Factor of 621,598

To find the highest common factor of 621,598, we have to find the factors of both numbers and list the highest common factor.

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598

The HCF of 621,598 is 23.

Lets's calculate GCF of 621,598

Greatest Common Factor (GCF) of 621,598 By Common Division

23 621, 598
27, 26

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 621,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,598 By Matching Biggest Common Factor Method

Now, list down the factors of 621

:

1,3,9,23,27,69,207,621

Now, list down the factors of 598

:

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 621,598 . The biggest common factor number is the GCF number.
So the greatest common factor 621,598 is 23.

Lets's calculate LCM of 28,257

Lowest Common Multiple of 28,257 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/7196

Therefore, the GCF of Fractions 621/28,598/257 is 23/7196

Least Common Multiple of 28,257 with GCF Formula

Least Common Multiple of 28,257 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 28,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,257) = 1

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

GCF(28,257) x common factors =1 x 1 = 1

LCM(28,257) = ( 28 × 257 ) / 1

LCM(28,257) = 7196 / 1

LCM(28,257) = 7196


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FAQs on GCF of Fractions of 621/28, 598/257

1. What is the HCF of 621,598?

The HCF of 621,598 is 23

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 621/28, 598/257?

Answer: GCF of Numerators as per given numbers 621/28, 598/257 is

GCF of Numerators i.e. for 621,598 is 23

LCM of denominators i.e. for 28,257 is 7196.

Thus, GCF of Fractions is 23/7196.Finally, GCF of Fractions for 621/28, 598/257 is 23/7196.