How to Find GCF of 7275/962, 1301/6721?

GCF of 7275/962, 1301/6721

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 7275/962, 1301/6721 i.e 1/497354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7275/962, 1301/6721.

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 7275/962,1301/6721?

Given fractions are 7275/962,1301/6721

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 7275/962,1301/6721, numerators are 7275,1301

Denominators are 962,6721

The GCF of 7275,1301 is 1 .

LCM of 962,6721 is 497354.

The greatest common factor of 7275/962,1301/6721 = [GCF of 7275,1301]/[LCM of 962,6721]= 1/497354

Therefore, the GCF of 7275/962,1301/6721 is 1/497354.

Greatest Common Factor of 7275,1301

To find the highest common factor of 7275,1301, we have to find the factors of both numbers and list the highest common factor.

The factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

The factors of 1301 are 1, 1301

The HCF of 7275,1301 is 1.

Lets's calculate GCF of 7275,1301

Greatest Common Factor (GCF) of 7275,1301 By Common Division

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

Greatest Common Factor of 7275,1301 By Matching Biggest Common Factor Method

Now, list down the factors of 7275

1,3,5,15,25,75,97,291,485,1455,2425,7275

Now, list down the factors of 1301

1,1301

Greatest Common Factor

We found the factors 7275,1301 . The biggest common factor number is the GCF number.
So the greatest common factor 7275,1301 is 1.

Lets's calculate LCM of 962,6721

Lowest Common Multiple of 962,6721 using Common Division

13	962, 6721
	74, 517

∴ So the LCM of the given numbers is 13 x 74 x 517 = 497354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/497354

Therefore, the GCF of Fractions 7275/962,1301/6721 is 1/497354

Least Common Multiple of 962,6721 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 962,6721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,6721) = 13

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

GCF(962,6721) x common factors =13 x 1 = 13

LCM(962,6721) = ( 962 × 6721 ) / 13

LCM(962,6721) = 6465602 / 13

LCM(962,6721) = 497354

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7275/962, 1301/6721

1. What is the HCF of 7275,1301?

The HCF of 7275,1301 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 7275/962, 1301/6721?

Answer: GCF of Numerators as per given numbers 7275/962, 1301/6721 is

GCF of Numerators i.e. for 7275,1301 is 1

LCM of denominators i.e. for 962,6721 is 497354.

Thus, GCF of Fractions is 1/497354.Finally, GCF of Fractions for 7275/962, 1301/6721 is 1/497354.