How to Find GCF of 1979/484, 3831/9404?

GCF of 1979/484, 3831/9404

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 1979/484, 3831/9404 i.e 1/1137884 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1979/484, 3831/9404.

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 1979/484,3831/9404?

Given fractions are 1979/484,3831/9404

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 1979/484,3831/9404, numerators are 1979,3831

Denominators are 484,9404

The GCF of 1979,3831 is 1 .

LCM of 484,9404 is 1137884.

The greatest common factor of 1979/484,3831/9404 = [GCF of 1979,3831]/[LCM of 484,9404]= 1/1137884

Therefore, the GCF of 1979/484,3831/9404 is 1/1137884.

Greatest Common Factor of 1979,3831

To find the highest common factor of 1979,3831, we have to find the factors of both numbers and list the highest common factor.

The factors of 1979 are 1, 1979

The factors of 3831 are 1, 3, 1277, 3831

The HCF of 1979,3831 is 1.

Lets's calculate GCF of 1979,3831

Greatest Common Factor (GCF) of 1979,3831 By Common Division

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

Greatest Common Factor of 1979,3831 By Matching Biggest Common Factor Method

Now, list down the factors of 1979

1,1979

Now, list down the factors of 3831

1,3,1277,3831

Greatest Common Factor

We found the factors 1979,3831 . The biggest common factor number is the GCF number.
So the greatest common factor 1979,3831 is 1.

Lets's calculate LCM of 484,9404

Lowest Common Multiple of 484,9404 using Common Division

2	484, 9404
2	242, 4702
	121, 2351

∴ So the LCM of the given numbers is 2 x 2 x 121 x 2351 = 1137884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1137884

Therefore, the GCF of Fractions 1979/484,3831/9404 is 1/1137884

Least Common Multiple of 484,9404 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 484,9404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,9404) = 4

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

GCF(484,9404) x common factors =4 x 1 = 4

LCM(484,9404) = ( 484 × 9404 ) / 4

LCM(484,9404) = 4551536 / 4

LCM(484,9404) = 1137884

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FAQs on GCF of Fractions of 1979/484, 3831/9404

1. What is the HCF of 1979,3831?

The HCF of 1979,3831 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 1979/484, 3831/9404?

Answer: GCF of Numerators as per given numbers 1979/484, 3831/9404 is

GCF of Numerators i.e. for 1979,3831 is 1

LCM of denominators i.e. for 484,9404 is 1137884.

Thus, GCF of Fractions is 1/1137884.Finally, GCF of Fractions for 1979/484, 3831/9404 is 1/1137884.