How to Find GCF of 2257/328, 9679/936?

GCF of 2257/328, 9679/936

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 2257/328, 9679/936 i.e 1/38376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2257/328, 9679/936.

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 2257/328,9679/936?

Given fractions are 2257/328,9679/936

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 2257/328,9679/936, numerators are 2257,9679

Denominators are 328,936

The GCF of 2257,9679 is 1 .

LCM of 328,936 is 38376.

The greatest common factor of 2257/328,9679/936 = [GCF of 2257,9679]/[LCM of 328,936]= 1/38376

Therefore, the GCF of 2257/328,9679/936 is 1/38376.

Greatest Common Factor of 2257,9679

To find the highest common factor of 2257,9679, we have to find the factors of both numbers and list the highest common factor.

The factors of 2257 are 1, 37, 61, 2257

The factors of 9679 are 1, 9679

The HCF of 2257,9679 is 1.

Lets's calculate GCF of 2257,9679

Greatest Common Factor (GCF) of 2257,9679 By Common Division

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

Greatest Common Factor of 2257,9679 By Matching Biggest Common Factor Method

Now, list down the factors of 2257

1,37,61,2257

Now, list down the factors of 9679

1,9679

Greatest Common Factor

We found the factors 2257,9679 . The biggest common factor number is the GCF number.
So the greatest common factor 2257,9679 is 1.

Lets's calculate LCM of 328,936

Lowest Common Multiple of 328,936 using Common Division

2	328, 936
2	164, 468
2	82, 234
	41, 117

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 117 = 38376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38376

Therefore, the GCF of Fractions 2257/328,9679/936 is 1/38376

Least Common Multiple of 328,936 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 328,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,936) = 8

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

GCF(328,936) x common factors =8 x 1 = 8

LCM(328,936) = ( 328 × 936 ) / 8

LCM(328,936) = 307008 / 8

LCM(328,936) = 38376

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FAQs on GCF of Fractions of 2257/328, 9679/936

1. What is the HCF of 2257,9679?

The HCF of 2257,9679 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 2257/328, 9679/936?

Answer: GCF of Numerators as per given numbers 2257/328, 9679/936 is

GCF of Numerators i.e. for 2257,9679 is 1

LCM of denominators i.e. for 328,936 is 38376.

Thus, GCF of Fractions is 1/38376.Finally, GCF of Fractions for 2257/328, 9679/936 is 1/38376.