How to Find GCF of 3318/200, 8751/4938?

GCF of 3318/200, 8751/4938

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 3318/200, 8751/4938 i.e 3/493800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3318/200, 8751/4938.

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 3318/200,8751/4938?

Given fractions are 3318/200,8751/4938

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 3318/200,8751/4938, numerators are 3318,8751

Denominators are 200,4938

The GCF of 3318,8751 is 3 .

LCM of 200,4938 is 493800.

The greatest common factor of 3318/200,8751/4938 = [GCF of 3318,8751]/[LCM of 200,4938]= 3/493800

Therefore, the GCF of 3318/200,8751/4938 is 3/493800.

Greatest Common Factor of 3318,8751

To find the highest common factor of 3318,8751, we have to find the factors of both numbers and list the highest common factor.

The factors of 3318 are 1, 2, 3, 6, 7, 14, 21, 42, 79, 158, 237, 474, 553, 1106, 1659, 3318

The factors of 8751 are 1, 3, 2917, 8751

The HCF of 3318,8751 is 3.

Lets's calculate GCF of 3318,8751

Greatest Common Factor (GCF) of 3318,8751 By Common Division

3	3318, 8751
	1106, 2917

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3318,8751 By Matching Biggest Common Factor Method

Now, list down the factors of 3318

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Now, list down the factors of 8751

1,3,2917,8751

Greatest Common Factor

We found the factors 3318,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 3318,8751 is 3.

Lets's calculate LCM of 200,4938

Lowest Common Multiple of 200,4938 using Common Division

2	200, 4938
	100, 2469

∴ So the LCM of the given numbers is 2 x 100 x 2469 = 493800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/493800

Therefore, the GCF of Fractions 3318/200,8751/4938 is 3/493800

Least Common Multiple of 200,4938 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 200,4938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(200,4938) = 2

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

GCF(200,4938) x common factors =2 x 1 = 2

LCM(200,4938) = ( 200 × 4938 ) / 2

LCM(200,4938) = 987600 / 2

LCM(200,4938) = 493800

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FAQs on GCF of Fractions of 3318/200, 8751/4938

1. What is the HCF of 3318,8751?

The HCF of 3318,8751 is 3

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 3318/200, 8751/4938?

Answer: GCF of Numerators as per given numbers 3318/200, 8751/4938 is

GCF of Numerators i.e. for 3318,8751 is 3

LCM of denominators i.e. for 200,4938 is 493800.

Thus, GCF of Fractions is 3/493800.Finally, GCF of Fractions for 3318/200, 8751/4938 is 3/493800.