How to Find GCF of 6721/253, 2251/2088?

GCF of 6721/253, 2251/2088

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 6721/253, 2251/2088 i.e 1/528264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6721/253, 2251/2088.

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 6721/253,2251/2088?

Given fractions are 6721/253,2251/2088

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 6721/253,2251/2088, numerators are 6721,2251

Denominators are 253,2088

The GCF of 6721,2251 is 1 .

LCM of 253,2088 is 528264.

The greatest common factor of 6721/253,2251/2088 = [GCF of 6721,2251]/[LCM of 253,2088]= 1/528264

Therefore, the GCF of 6721/253,2251/2088 is 1/528264.

Greatest Common Factor of 6721,2251

To find the highest common factor of 6721,2251, we have to find the factors of both numbers and list the highest common factor.

The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721

The factors of 2251 are 1, 2251

The HCF of 6721,2251 is 1.

Lets's calculate GCF of 6721,2251

Greatest Common Factor (GCF) of 6721,2251 By Common Division

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

Greatest Common Factor of 6721,2251 By Matching Biggest Common Factor Method

Now, list down the factors of 6721

1,11,13,47,143,517,611,6721

Now, list down the factors of 2251

1,2251

Greatest Common Factor

We found the factors 6721,2251 . The biggest common factor number is the GCF number.
So the greatest common factor 6721,2251 is 1.

Lets's calculate LCM of 253,2088

Lowest Common Multiple of 253,2088 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 528264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/528264

Therefore, the GCF of Fractions 6721/253,2251/2088 is 1/528264

Least Common Multiple of 253,2088 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 253,2088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,2088) = 1

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

GCF(253,2088) x common factors =1 x 1 = 1

LCM(253,2088) = ( 253 × 2088 ) / 1

LCM(253,2088) = 528264 / 1

LCM(253,2088) = 528264

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FAQs on GCF of Fractions of 6721/253, 2251/2088

1. What is the HCF of 6721,2251?

The HCF of 6721,2251 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 6721/253, 2251/2088?

Answer: GCF of Numerators as per given numbers 6721/253, 2251/2088 is

GCF of Numerators i.e. for 6721,2251 is 1

LCM of denominators i.e. for 253,2088 is 528264.

Thus, GCF of Fractions is 1/528264.Finally, GCF of Fractions for 6721/253, 2251/2088 is 1/528264.