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GCF of 3821/602, 1993/5761

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 3821/602, 1993/5761 i.e 1/495446 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3821/602, 1993/5761.

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 3821/602,1993/5761?

Given fractions are 3821/602,1993/5761

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 3821/602,1993/5761, numerators are 3821,1993

Denominators are 602,5761

The GCF of 3821,1993 is 1 .

LCM of 602,5761 is 495446.

The greatest common factor of 3821/602,1993/5761 = [GCF of 3821,1993]/[LCM of 602,5761]= 1/495446

Therefore, the GCF of 3821/602,1993/5761 is 1/495446.

Greatest Common Factor of 3821,1993

To find the highest common factor of 3821,1993, we have to find the factors of both numbers and list the highest common factor.

The factors of 3821 are 1, 3821

The factors of 1993 are 1, 1993

The HCF of 3821,1993 is 1.

Lets's calculate GCF of 3821,1993

Greatest Common Factor (GCF) of 3821,1993 By Common Division

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

Greatest Common Factor of 3821,1993 By Matching Biggest Common Factor Method

Greatest Common Factor of 3821,1993 By Matching Biggest Common Factor Method

Now, list down the factors of 3821

:

1,3821

Now, list down the factors of 1993

:

1,1993

Greatest Common Factor

We found the factors 3821,1993 . The biggest common factor number is the GCF number.
So the greatest common factor 3821,1993 is 1.

Lets's calculate LCM of 602,5761

Lowest Common Multiple of 602,5761 using Common Division

7 602, 5761
86, 823

∴ So the LCM of the given numbers is 7 x 86 x 823 = 495446

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/495446

Therefore, the GCF of Fractions 3821/602,1993/5761 is 1/495446

Least Common Multiple of 602,5761 with GCF Formula

Least Common Multiple of 602,5761 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 602,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,5761) = 7

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

GCF(602,5761) x common factors =7 x 1 = 7

LCM(602,5761) = ( 602 × 5761 ) / 7

LCM(602,5761) = 3468122 / 7

LCM(602,5761) = 495446


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FAQs on GCF of Fractions of 3821/602, 1993/5761

1. What is the HCF of 3821,1993?

The HCF of 3821,1993 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 3821/602, 1993/5761?

Answer: GCF of Numerators as per given numbers 3821/602, 1993/5761 is

GCF of Numerators i.e. for 3821,1993 is 1

LCM of denominators i.e. for 602,5761 is 495446.

Thus, GCF of Fractions is 1/495446.Finally, GCF of Fractions for 3821/602, 1993/5761 is 1/495446.