How to Find GCF of 2501/480, 1455/5944?

GCF of 2501/480, 1455/5944

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 2501/480, 1455/5944 i.e 1/356640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2501/480, 1455/5944.

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 2501/480,1455/5944?

Given fractions are 2501/480,1455/5944

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 2501/480,1455/5944, numerators are 2501,1455

Denominators are 480,5944

The GCF of 2501,1455 is 1 .

LCM of 480,5944 is 356640.

The greatest common factor of 2501/480,1455/5944 = [GCF of 2501,1455]/[LCM of 480,5944]= 1/356640

Therefore, the GCF of 2501/480,1455/5944 is 1/356640.

Greatest Common Factor of 2501,1455

To find the highest common factor of 2501,1455, we have to find the factors of both numbers and list the highest common factor.

The factors of 2501 are 1, 41, 61, 2501

The factors of 1455 are 1, 3, 5, 15, 97, 291, 485, 1455

The HCF of 2501,1455 is 1.

Lets's calculate GCF of 2501,1455

Greatest Common Factor (GCF) of 2501,1455 By Common Division

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

Greatest Common Factor of 2501,1455 By Matching Biggest Common Factor Method

Now, list down the factors of 2501

1,41,61,2501

Now, list down the factors of 1455

1,3,5,15,97,291,485,1455

Greatest Common Factor

We found the factors 2501,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 2501,1455 is 1.

Lets's calculate LCM of 480,5944

Lowest Common Multiple of 480,5944 using Common Division

2	480, 5944
2	240, 2972
2	120, 1486
	60, 743

∴ So the LCM of the given numbers is 2 x 2 x 2 x 60 x 743 = 356640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356640

Therefore, the GCF of Fractions 2501/480,1455/5944 is 1/356640

Least Common Multiple of 480,5944 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 480,5944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,5944) = 8

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

GCF(480,5944) x common factors =8 x 1 = 8

LCM(480,5944) = ( 480 × 5944 ) / 8

LCM(480,5944) = 2853120 / 8

LCM(480,5944) = 356640

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2501/480, 1455/5944

1. What is the HCF of 2501,1455?

The HCF of 2501,1455 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 2501/480, 1455/5944?

Answer: GCF of Numerators as per given numbers 2501/480, 1455/5944 is

GCF of Numerators i.e. for 2501,1455 is 1

LCM of denominators i.e. for 480,5944 is 356640.

Thus, GCF of Fractions is 1/356640.Finally, GCF of Fractions for 2501/480, 1455/5944 is 1/356640.