How to Find GCF of 3922/184, 3801/1140?

GCF of 3922/184, 3801/1140

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 3922/184, 3801/1140 i.e 1/52440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3922/184, 3801/1140.

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 3922/184,3801/1140?

Given fractions are 3922/184,3801/1140

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 3922/184,3801/1140, numerators are 3922,3801

Denominators are 184,1140

The GCF of 3922,3801 is 1 .

LCM of 184,1140 is 52440.

The greatest common factor of 3922/184,3801/1140 = [GCF of 3922,3801]/[LCM of 184,1140]= 1/52440

Therefore, the GCF of 3922/184,3801/1140 is 1/52440.

Greatest Common Factor of 3922,3801

To find the highest common factor of 3922,3801, we have to find the factors of both numbers and list the highest common factor.

The factors of 3922 are 1, 2, 37, 53, 74, 106, 1961, 3922

The factors of 3801 are 1, 3, 7, 21, 181, 543, 1267, 3801

The HCF of 3922,3801 is 1.

Lets's calculate GCF of 3922,3801

Greatest Common Factor (GCF) of 3922,3801 By Common Division

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

Greatest Common Factor of 3922,3801 By Matching Biggest Common Factor Method

Now, list down the factors of 3922

1,2,37,53,74,106,1961,3922

Now, list down the factors of 3801

1,3,7,21,181,543,1267,3801

Greatest Common Factor

We found the factors 3922,3801 . The biggest common factor number is the GCF number.
So the greatest common factor 3922,3801 is 1.

Lets's calculate LCM of 184,1140

Lowest Common Multiple of 184,1140 using Common Division

2	184, 1140
2	92, 570
	46, 285

∴ So the LCM of the given numbers is 2 x 2 x 46 x 285 = 52440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52440

Therefore, the GCF of Fractions 3922/184,3801/1140 is 1/52440

Least Common Multiple of 184,1140 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 184,1140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,1140) = 4

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

GCF(184,1140) x common factors =4 x 1 = 4

LCM(184,1140) = ( 184 × 1140 ) / 4

LCM(184,1140) = 209760 / 4

LCM(184,1140) = 52440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3922/184, 3801/1140

1. What is the HCF of 3922,3801?

The HCF of 3922,3801 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 3922/184, 3801/1140?

Answer: GCF of Numerators as per given numbers 3922/184, 3801/1140 is

GCF of Numerators i.e. for 3922,3801 is 1

LCM of denominators i.e. for 184,1140 is 52440.

Thus, GCF of Fractions is 1/52440.Finally, GCF of Fractions for 3922/184, 3801/1140 is 1/52440.