How to Find GCF of 6521/724, 6641/3992?

GCF of 6521/724, 6641/3992

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 6521/724, 6641/3992 i.e 1/722552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6521/724, 6641/3992.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6521/724,6641/3992?

Given fractions are 6521/724,6641/3992

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 6521/724,6641/3992, numerators are 6521,6641

Denominators are 724,3992

The GCF of 6521,6641 is 1 .

LCM of 724,3992 is 722552.

The greatest common factor of 6521/724,6641/3992 = [GCF of 6521,6641]/[LCM of 724,3992]= 1/722552

Therefore, the GCF of 6521/724,6641/3992 is 1/722552.

Greatest Common Factor of 6521,6641

To find the highest common factor of 6521,6641, we have to find the factors of both numbers and list the highest common factor.

The factors of 6521 are 1, 6521

The factors of 6641 are 1, 29, 229, 6641

The HCF of 6521,6641 is 1.

Lets's calculate GCF of 6521,6641

Greatest Common Factor (GCF) of 6521,6641 By Common Division

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

Greatest Common Factor of 6521,6641 By Matching Biggest Common Factor Method

Now, list down the factors of 6521

1,6521

Now, list down the factors of 6641

1,29,229,6641

Greatest Common Factor

We found the factors 6521,6641 . The biggest common factor number is the GCF number.
So the greatest common factor 6521,6641 is 1.

Lets's calculate LCM of 724,3992

Lowest Common Multiple of 724,3992 using Common Division

2	724, 3992
2	362, 1996
	181, 998

∴ So the LCM of the given numbers is 2 x 2 x 181 x 998 = 722552

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722552

Therefore, the GCF of Fractions 6521/724,6641/3992 is 1/722552

Least Common Multiple of 724,3992 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 724,3992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,3992) = 4

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

GCF(724,3992) x common factors =4 x 1 = 4

LCM(724,3992) = ( 724 × 3992 ) / 4

LCM(724,3992) = 2890208 / 4

LCM(724,3992) = 722552

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6521/724, 6641/3992

1. What is the HCF of 6521,6641?

The HCF of 6521,6641 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 6521/724, 6641/3992?

Answer: GCF of Numerators as per given numbers 6521/724, 6641/3992 is

GCF of Numerators i.e. for 6521,6641 is 1

LCM of denominators i.e. for 724,3992 is 722552.

Thus, GCF of Fractions is 1/722552.Finally, GCF of Fractions for 6521/724, 6641/3992 is 1/722552.