How to Find GCF of 2602/726, 3425/5988?

GCF of 2602/726, 3425/5988

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 2602/726, 3425/5988 i.e 1/724548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2602/726, 3425/5988.

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 2602/726,3425/5988?

Given fractions are 2602/726,3425/5988

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 2602/726,3425/5988, numerators are 2602,3425

Denominators are 726,5988

The GCF of 2602,3425 is 1 .

LCM of 726,5988 is 724548.

The greatest common factor of 2602/726,3425/5988 = [GCF of 2602,3425]/[LCM of 726,5988]= 1/724548

Therefore, the GCF of 2602/726,3425/5988 is 1/724548.

Greatest Common Factor of 2602,3425

To find the highest common factor of 2602,3425, we have to find the factors of both numbers and list the highest common factor.

The factors of 2602 are 1, 2, 1301, 2602

The factors of 3425 are 1, 5, 25, 137, 685, 3425

The HCF of 2602,3425 is 1.

Lets's calculate GCF of 2602,3425

Greatest Common Factor (GCF) of 2602,3425 By Common Division

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

Greatest Common Factor of 2602,3425 By Matching Biggest Common Factor Method

Now, list down the factors of 2602

1,2,1301,2602

Now, list down the factors of 3425

1,5,25,137,685,3425

Greatest Common Factor

We found the factors 2602,3425 . The biggest common factor number is the GCF number.
So the greatest common factor 2602,3425 is 1.

Lets's calculate LCM of 726,5988

Lowest Common Multiple of 726,5988 using Common Division

2	726, 5988
3	363, 2994
	121, 998

∴ So the LCM of the given numbers is 2 x 3 x 121 x 998 = 724548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/724548

Therefore, the GCF of Fractions 2602/726,3425/5988 is 1/724548

Least Common Multiple of 726,5988 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 726,5988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,5988) = 6

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

GCF(726,5988) x common factors =6 x 1 = 6

LCM(726,5988) = ( 726 × 5988 ) / 6

LCM(726,5988) = 4347288 / 6

LCM(726,5988) = 724548

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2602/726, 3425/5988

1. What is the HCF of 2602,3425?

The HCF of 2602,3425 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 2602/726, 3425/5988?

Answer: GCF of Numerators as per given numbers 2602/726, 3425/5988 is

GCF of Numerators i.e. for 2602,3425 is 1

LCM of denominators i.e. for 726,5988 is 724548.

Thus, GCF of Fractions is 1/724548.Finally, GCF of Fractions for 2602/726, 3425/5988 is 1/724548.