How to Find GCF of 2649/328, 8101/9592?

GCF of 2649/328, 8101/9592

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 2649/328, 8101/9592 i.e 1/393272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2649/328, 8101/9592.

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 2649/328,8101/9592?

Given fractions are 2649/328,8101/9592

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 2649/328,8101/9592, numerators are 2649,8101

Denominators are 328,9592

The GCF of 2649,8101 is 1 .

LCM of 328,9592 is 393272.

The greatest common factor of 2649/328,8101/9592 = [GCF of 2649,8101]/[LCM of 328,9592]= 1/393272

Therefore, the GCF of 2649/328,8101/9592 is 1/393272.

Greatest Common Factor of 2649,8101

To find the highest common factor of 2649,8101, we have to find the factors of both numbers and list the highest common factor.

The factors of 2649 are 1, 3, 883, 2649

The factors of 8101 are 1, 8101

The HCF of 2649,8101 is 1.

Lets's calculate GCF of 2649,8101

Greatest Common Factor (GCF) of 2649,8101 By Common Division

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

Greatest Common Factor of 2649,8101 By Matching Biggest Common Factor Method

Now, list down the factors of 2649

1,3,883,2649

Now, list down the factors of 8101

1,8101

Greatest Common Factor

We found the factors 2649,8101 . The biggest common factor number is the GCF number.
So the greatest common factor 2649,8101 is 1.

Lets's calculate LCM of 328,9592

Lowest Common Multiple of 328,9592 using Common Division

2	328, 9592
2	164, 4796
2	82, 2398
	41, 1199

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 1199 = 393272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393272

Therefore, the GCF of Fractions 2649/328,8101/9592 is 1/393272

Least Common Multiple of 328,9592 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 328,9592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,9592) = 8

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

GCF(328,9592) x common factors =8 x 1 = 8

LCM(328,9592) = ( 328 × 9592 ) / 8

LCM(328,9592) = 3146176 / 8

LCM(328,9592) = 393272

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FAQs on GCF of Fractions of 2649/328, 8101/9592

1. What is the HCF of 2649,8101?

The HCF of 2649,8101 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 2649/328, 8101/9592?

Answer: GCF of Numerators as per given numbers 2649/328, 8101/9592 is

GCF of Numerators i.e. for 2649,8101 is 1

LCM of denominators i.e. for 328,9592 is 393272.

Thus, GCF of Fractions is 1/393272.Finally, GCF of Fractions for 2649/328, 8101/9592 is 1/393272.