How to Find GCF of 2501/320, 7208/1620?

GCF of 2501/320, 7208/1620

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 2501/320, 7208/1620 i.e 1/25920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2501/320, 7208/1620.

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 2501/320,7208/1620?

Given fractions are 2501/320,7208/1620

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 2501/320,7208/1620, numerators are 2501,7208

Denominators are 320,1620

The GCF of 2501,7208 is 1 .

LCM of 320,1620 is 25920.

The greatest common factor of 2501/320,7208/1620 = [GCF of 2501,7208]/[LCM of 320,1620]= 1/25920

Therefore, the GCF of 2501/320,7208/1620 is 1/25920.

Greatest Common Factor of 2501,7208

To find the highest common factor of 2501,7208, 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 7208 are 1, 2, 4, 8, 17, 34, 53, 68, 106, 136, 212, 424, 901, 1802, 3604, 7208

The HCF of 2501,7208 is 1.

Lets's calculate GCF of 2501,7208

Greatest Common Factor (GCF) of 2501,7208 By Common Division

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

Greatest Common Factor of 2501,7208 By Matching Biggest Common Factor Method

Now, list down the factors of 2501

1,41,61,2501

Now, list down the factors of 7208

1,2,4,8,17,34,53,68,106,136,212,424,901,1802,3604,7208

Greatest Common Factor

We found the factors 2501,7208 . The biggest common factor number is the GCF number.
So the greatest common factor 2501,7208 is 1.

Lets's calculate LCM of 320,1620

Lowest Common Multiple of 320,1620 using Common Division

2	320, 1620
2	160, 810
5	80, 405
	16, 81

∴ So the LCM of the given numbers is 2 x 2 x 5 x 16 x 81 = 25920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25920

Therefore, the GCF of Fractions 2501/320,7208/1620 is 1/25920

Least Common Multiple of 320,1620 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 320,1620 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,1620) = 20

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

GCF(320,1620) x common factors =20 x 1 = 20

LCM(320,1620) = ( 320 × 1620 ) / 20

LCM(320,1620) = 518400 / 20

LCM(320,1620) = 25920

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2501/320, 7208/1620

1. What is the HCF of 2501,7208?

The HCF of 2501,7208 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 2501/320, 7208/1620?

Answer: GCF of Numerators as per given numbers 2501/320, 7208/1620 is

GCF of Numerators i.e. for 2501,7208 is 1

LCM of denominators i.e. for 320,1620 is 25920.

Thus, GCF of Fractions is 1/25920.Finally, GCF of Fractions for 2501/320, 7208/1620 is 1/25920.