How to Find GCF of 4737/262, 3938/3416?

GCF of 4737/262, 3938/3416

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 4737/262, 3938/3416 i.e 1/447496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4737/262, 3938/3416.

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 4737/262,3938/3416?

Given fractions are 4737/262,3938/3416

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 4737/262,3938/3416, numerators are 4737,3938

Denominators are 262,3416

The GCF of 4737,3938 is 1 .

LCM of 262,3416 is 447496.

The greatest common factor of 4737/262,3938/3416 = [GCF of 4737,3938]/[LCM of 262,3416]= 1/447496

Therefore, the GCF of 4737/262,3938/3416 is 1/447496.

Greatest Common Factor of 4737,3938

To find the highest common factor of 4737,3938, we have to find the factors of both numbers and list the highest common factor.

The factors of 4737 are 1, 3, 1579, 4737

The factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938

The HCF of 4737,3938 is 1.

Lets's calculate GCF of 4737,3938

Greatest Common Factor (GCF) of 4737,3938 By Common Division

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

Greatest Common Factor of 4737,3938 By Matching Biggest Common Factor Method

Now, list down the factors of 4737

1,3,1579,4737

Now, list down the factors of 3938

1,2,11,22,179,358,1969,3938

Greatest Common Factor

We found the factors 4737,3938 . The biggest common factor number is the GCF number.
So the greatest common factor 4737,3938 is 1.

Lets's calculate LCM of 262,3416

Lowest Common Multiple of 262,3416 using Common Division

2	262, 3416
	131, 1708

∴ So the LCM of the given numbers is 2 x 131 x 1708 = 447496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/447496

Therefore, the GCF of Fractions 4737/262,3938/3416 is 1/447496

Least Common Multiple of 262,3416 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 262,3416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(262,3416) = 2

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

GCF(262,3416) x common factors =2 x 1 = 2

LCM(262,3416) = ( 262 × 3416 ) / 2

LCM(262,3416) = 894992 / 2

LCM(262,3416) = 447496

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FAQs on GCF of Fractions of 4737/262, 3938/3416

1. What is the HCF of 4737,3938?

The HCF of 4737,3938 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 4737/262, 3938/3416?

Answer: GCF of Numerators as per given numbers 4737/262, 3938/3416 is

GCF of Numerators i.e. for 4737,3938 is 1

LCM of denominators i.e. for 262,3416 is 447496.

Thus, GCF of Fractions is 1/447496.Finally, GCF of Fractions for 4737/262, 3938/3416 is 1/447496.