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GCF of 591/23, 662/3826

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 591/23, 662/3826 i.e 1/87998 easily. The following is the detailed procedure to determine the greatest common factor of fractions 591/23, 662/3826.

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 591/23,662/3826?

Given fractions are 591/23,662/3826

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 591/23,662/3826, numerators are 591,662

Denominators are 23,3826

The GCF of 591,662 is 1 .

LCM of 23,3826 is 87998.

The greatest common factor of 591/23,662/3826 = [GCF of 591,662]/[LCM of 23,3826]= 1/87998

Therefore, the GCF of 591/23,662/3826 is 1/87998.

Greatest Common Factor of 591,662

To find the highest common factor of 591,662, we have to find the factors of both numbers and list the highest common factor.

The factors of 591 are 1, 3, 197, 591

The factors of 662 are 1, 2, 331, 662

The HCF of 591,662 is 1.

Lets's calculate GCF of 591,662

Greatest Common Factor (GCF) of 591,662 By Common Division

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

Greatest Common Factor of 591,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,662 By Matching Biggest Common Factor Method

Now, list down the factors of 591

:

1,3,197,591

Now, list down the factors of 662

:

1,2,331,662

Greatest Common Factor

We found the factors 591,662 . The biggest common factor number is the GCF number.
So the greatest common factor 591,662 is 1.

Lets's calculate LCM of 23,3826

Lowest Common Multiple of 23,3826 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 87998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/87998

Therefore, the GCF of Fractions 591/23,662/3826 is 1/87998

Least Common Multiple of 23,3826 with GCF Formula

Least Common Multiple of 23,3826 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 23,3826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,3826) = 1

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

GCF(23,3826) x common factors =1 x 1 = 1

LCM(23,3826) = ( 23 × 3826 ) / 1

LCM(23,3826) = 87998 / 1

LCM(23,3826) = 87998


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FAQs on GCF of Fractions of 591/23, 662/3826

1. What is the HCF of 591,662?

The HCF of 591,662 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 591/23, 662/3826?

Answer: GCF of Numerators as per given numbers 591/23, 662/3826 is

GCF of Numerators i.e. for 591,662 is 1

LCM of denominators i.e. for 23,3826 is 87998.

Thus, GCF of Fractions is 1/87998.Finally, GCF of Fractions for 591/23, 662/3826 is 1/87998.