How to Find GCF of 4938/289, 5813/3271?

GCF of 4938/289, 5813/3271

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 4938/289, 5813/3271 i.e 1/945319 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4938/289, 5813/3271.

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 4938/289,5813/3271?

Given fractions are 4938/289,5813/3271

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 4938/289,5813/3271, numerators are 4938,5813

Denominators are 289,3271

The GCF of 4938,5813 is 1 .

LCM of 289,3271 is 945319.

The greatest common factor of 4938/289,5813/3271 = [GCF of 4938,5813]/[LCM of 289,3271]= 1/945319

Therefore, the GCF of 4938/289,5813/3271 is 1/945319.

Greatest Common Factor of 4938,5813

To find the highest common factor of 4938,5813, we have to find the factors of both numbers and list the highest common factor.

The factors of 4938 are 1, 2, 3, 6, 823, 1646, 2469, 4938

The factors of 5813 are 1, 5813

The HCF of 4938,5813 is 1.

Lets's calculate GCF of 4938,5813

Greatest Common Factor (GCF) of 4938,5813 By Common Division

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

Greatest Common Factor of 4938,5813 By Matching Biggest Common Factor Method

Now, list down the factors of 4938

1,2,3,6,823,1646,2469,4938

Now, list down the factors of 5813

1,5813

Greatest Common Factor

We found the factors 4938,5813 . The biggest common factor number is the GCF number.
So the greatest common factor 4938,5813 is 1.

Lets's calculate LCM of 289,3271

Lowest Common Multiple of 289,3271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 945319

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/945319

Therefore, the GCF of Fractions 4938/289,5813/3271 is 1/945319

Least Common Multiple of 289,3271 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 289,3271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,3271) = 1

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

GCF(289,3271) x common factors =1 x 1 = 1

LCM(289,3271) = ( 289 × 3271 ) / 1

LCM(289,3271) = 945319 / 1

LCM(289,3271) = 945319

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FAQs on GCF of Fractions of 4938/289, 5813/3271

1. What is the HCF of 4938,5813?

The HCF of 4938,5813 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 4938/289, 5813/3271?

Answer: GCF of Numerators as per given numbers 4938/289, 5813/3271 is

GCF of Numerators i.e. for 4938,5813 is 1

LCM of denominators i.e. for 289,3271 is 945319.

Thus, GCF of Fractions is 1/945319.Finally, GCF of Fractions for 4938/289, 5813/3271 is 1/945319.