How to Find GCF of 1982/204, 4833/3708?

GCF of 1982/204, 4833/3708

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 1982/204, 4833/3708 i.e 1/63036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1982/204, 4833/3708.

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 1982/204,4833/3708?

Given fractions are 1982/204,4833/3708

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 1982/204,4833/3708, numerators are 1982,4833

Denominators are 204,3708

The GCF of 1982,4833 is 1 .

LCM of 204,3708 is 63036.

The greatest common factor of 1982/204,4833/3708 = [GCF of 1982,4833]/[LCM of 204,3708]= 1/63036

Therefore, the GCF of 1982/204,4833/3708 is 1/63036.

Greatest Common Factor of 1982,4833

To find the highest common factor of 1982,4833, we have to find the factors of both numbers and list the highest common factor.

The factors of 1982 are 1, 2, 991, 1982

The factors of 4833 are 1, 3, 9, 27, 179, 537, 1611, 4833

The HCF of 1982,4833 is 1.

Lets's calculate GCF of 1982,4833

Greatest Common Factor (GCF) of 1982,4833 By Common Division

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

Greatest Common Factor of 1982,4833 By Matching Biggest Common Factor Method

Now, list down the factors of 1982

1,2,991,1982

Now, list down the factors of 4833

1,3,9,27,179,537,1611,4833

Greatest Common Factor

We found the factors 1982,4833 . The biggest common factor number is the GCF number.
So the greatest common factor 1982,4833 is 1.

Lets's calculate LCM of 204,3708

Lowest Common Multiple of 204,3708 using Common Division

2	204, 3708
2	102, 1854
3	51, 927
	17, 309

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 309 = 63036

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63036

Therefore, the GCF of Fractions 1982/204,4833/3708 is 1/63036

Least Common Multiple of 204,3708 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 204,3708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,3708) = 12

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

GCF(204,3708) x common factors =12 x 1 = 12

LCM(204,3708) = ( 204 × 3708 ) / 12

LCM(204,3708) = 756432 / 12

LCM(204,3708) = 63036

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FAQs on GCF of Fractions of 1982/204, 4833/3708

1. What is the HCF of 1982,4833?

The HCF of 1982,4833 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 1982/204, 4833/3708?

Answer: GCF of Numerators as per given numbers 1982/204, 4833/3708 is

GCF of Numerators i.e. for 1982,4833 is 1

LCM of denominators i.e. for 204,3708 is 63036.

Thus, GCF of Fractions is 1/63036.Finally, GCF of Fractions for 1982/204, 4833/3708 is 1/63036.