How to Find GCF of 5302/754, 9165/2646?

GCF of 5302/754, 9165/2646

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 5302/754, 9165/2646 i.e 1/997542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5302/754, 9165/2646.

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 5302/754,9165/2646?

Given fractions are 5302/754,9165/2646

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 5302/754,9165/2646, numerators are 5302,9165

Denominators are 754,2646

The GCF of 5302,9165 is 1 .

LCM of 754,2646 is 997542.

The greatest common factor of 5302/754,9165/2646 = [GCF of 5302,9165]/[LCM of 754,2646]= 1/997542

Therefore, the GCF of 5302/754,9165/2646 is 1/997542.

Greatest Common Factor of 5302,9165

To find the highest common factor of 5302,9165, we have to find the factors of both numbers and list the highest common factor.

The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302

The factors of 9165 are 1, 3, 5, 13, 15, 39, 47, 65, 141, 195, 235, 611, 705, 1833, 3055, 9165

The HCF of 5302,9165 is 1.

Lets's calculate GCF of 5302,9165

Greatest Common Factor (GCF) of 5302,9165 By Common Division

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

Greatest Common Factor of 5302,9165 By Matching Biggest Common Factor Method

Now, list down the factors of 5302

1,2,11,22,241,482,2651,5302

Now, list down the factors of 9165

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Greatest Common Factor

We found the factors 5302,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 5302,9165 is 1.

Lets's calculate LCM of 754,2646

Lowest Common Multiple of 754,2646 using Common Division

2	754, 2646
	377, 1323

∴ So the LCM of the given numbers is 2 x 377 x 1323 = 997542

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/997542

Therefore, the GCF of Fractions 5302/754,9165/2646 is 1/997542

Least Common Multiple of 754,2646 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 754,2646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(754,2646) = 2

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

GCF(754,2646) x common factors =2 x 1 = 2

LCM(754,2646) = ( 754 × 2646 ) / 2

LCM(754,2646) = 1995084 / 2

LCM(754,2646) = 997542

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5302/754, 9165/2646

1. What is the HCF of 5302,9165?

The HCF of 5302,9165 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 5302/754, 9165/2646?

Answer: GCF of Numerators as per given numbers 5302/754, 9165/2646 is

GCF of Numerators i.e. for 5302,9165 is 1

LCM of denominators i.e. for 754,2646 is 997542.

Thus, GCF of Fractions is 1/997542.Finally, GCF of Fractions for 5302/754, 9165/2646 is 1/997542.