How to Find GCF of 2521/754, 3730/2436?

GCF of 2521/754, 3730/2436

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 2521/754, 3730/2436 i.e 1/31668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2521/754, 3730/2436.

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 2521/754,3730/2436?

Given fractions are 2521/754,3730/2436

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 2521/754,3730/2436, numerators are 2521,3730

Denominators are 754,2436

The GCF of 2521,3730 is 1 .

LCM of 754,2436 is 31668.

The greatest common factor of 2521/754,3730/2436 = [GCF of 2521,3730]/[LCM of 754,2436]= 1/31668

Therefore, the GCF of 2521/754,3730/2436 is 1/31668.

Greatest Common Factor of 2521,3730

To find the highest common factor of 2521,3730, we have to find the factors of both numbers and list the highest common factor.

The factors of 2521 are 1, 2521

The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730

The HCF of 2521,3730 is 1.

Lets's calculate GCF of 2521,3730

Greatest Common Factor (GCF) of 2521,3730 By Common Division

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

Greatest Common Factor of 2521,3730 By Matching Biggest Common Factor Method

Now, list down the factors of 2521

1,2521

Now, list down the factors of 3730

1,2,5,10,373,746,1865,3730

Greatest Common Factor

We found the factors 2521,3730 . The biggest common factor number is the GCF number.
So the greatest common factor 2521,3730 is 1.

Lets's calculate LCM of 754,2436

Lowest Common Multiple of 754,2436 using Common Division

2	754, 2436
29	377, 1218
	13, 42

∴ So the LCM of the given numbers is 2 x 29 x 13 x 42 = 31668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31668

Therefore, the GCF of Fractions 2521/754,3730/2436 is 1/31668

Least Common Multiple of 754,2436 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 754,2436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,2436) = 58

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

GCF(754,2436) x common factors =58 x 1 = 58

LCM(754,2436) = ( 754 × 2436 ) / 58

LCM(754,2436) = 1836744 / 58

LCM(754,2436) = 31668

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FAQs on GCF of Fractions of 2521/754, 3730/2436

1. What is the HCF of 2521,3730?

The HCF of 2521,3730 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 2521/754, 3730/2436?

Answer: GCF of Numerators as per given numbers 2521/754, 3730/2436 is

GCF of Numerators i.e. for 2521,3730 is 1

LCM of denominators i.e. for 754,2436 is 31668.

Thus, GCF of Fractions is 1/31668.Finally, GCF of Fractions for 2521/754, 3730/2436 is 1/31668.