How to Find GCF of 4077/996, 3161/7874?

GCF of 4077/996, 3161/7874

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 4077/996, 3161/7874 i.e 1/3921252 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4077/996, 3161/7874.

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 4077/996,3161/7874?

Given fractions are 4077/996,3161/7874

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 4077/996,3161/7874, numerators are 4077,3161

Denominators are 996,7874

The GCF of 4077,3161 is 1 .

LCM of 996,7874 is 3921252.

The greatest common factor of 4077/996,3161/7874 = [GCF of 4077,3161]/[LCM of 996,7874]= 1/3921252

Therefore, the GCF of 4077/996,3161/7874 is 1/3921252.

Greatest Common Factor of 4077,3161

To find the highest common factor of 4077,3161, we have to find the factors of both numbers and list the highest common factor.

The factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077

The factors of 3161 are 1, 29, 109, 3161

The HCF of 4077,3161 is 1.

Lets's calculate GCF of 4077,3161

Greatest Common Factor (GCF) of 4077,3161 By Common Division

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

Greatest Common Factor of 4077,3161 By Matching Biggest Common Factor Method

Now, list down the factors of 4077

1,3,9,27,151,453,1359,4077

Now, list down the factors of 3161

1,29,109,3161

Greatest Common Factor

We found the factors 4077,3161 . The biggest common factor number is the GCF number.
So the greatest common factor 4077,3161 is 1.

Lets's calculate LCM of 996,7874

Lowest Common Multiple of 996,7874 using Common Division

2	996, 7874
	498, 3937

∴ So the LCM of the given numbers is 2 x 498 x 3937 = 3921252

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3921252

Therefore, the GCF of Fractions 4077/996,3161/7874 is 1/3921252

Least Common Multiple of 996,7874 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 996,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,7874) = 2

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

GCF(996,7874) x common factors =2 x 1 = 2

LCM(996,7874) = ( 996 × 7874 ) / 2

LCM(996,7874) = 7842504 / 2

LCM(996,7874) = 3921252

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FAQs on GCF of Fractions of 4077/996, 3161/7874

1. What is the HCF of 4077,3161?

The HCF of 4077,3161 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 4077/996, 3161/7874?

Answer: GCF of Numerators as per given numbers 4077/996, 3161/7874 is

GCF of Numerators i.e. for 4077,3161 is 1

LCM of denominators i.e. for 996,7874 is 3921252.

Thus, GCF of Fractions is 1/3921252.Finally, GCF of Fractions for 4077/996, 3161/7874 is 1/3921252.