How to Find GCF of 3714/601, 4022/9992?

GCF of 3714/601, 4022/9992

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 3714/601, 4022/9992 i.e 2/6005192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3714/601, 4022/9992.

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 3714/601,4022/9992?

Given fractions are 3714/601,4022/9992

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 3714/601,4022/9992, numerators are 3714,4022

Denominators are 601,9992

The GCF of 3714,4022 is 2 .

LCM of 601,9992 is 6005192.

The greatest common factor of 3714/601,4022/9992 = [GCF of 3714,4022]/[LCM of 601,9992]= 2/6005192

Therefore, the GCF of 3714/601,4022/9992 is 2/6005192.

Greatest Common Factor of 3714,4022

To find the highest common factor of 3714,4022, we have to find the factors of both numbers and list the highest common factor.

The factors of 3714 are 1, 2, 3, 6, 619, 1238, 1857, 3714

The factors of 4022 are 1, 2, 2011, 4022

The HCF of 3714,4022 is 2.

Lets's calculate GCF of 3714,4022

Greatest Common Factor (GCF) of 3714,4022 By Common Division

2	3714, 4022
	1857, 2011

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3714,4022 By Matching Biggest Common Factor Method

Now, list down the factors of 3714

1,2,3,6,619,1238,1857,3714

Now, list down the factors of 4022

1,2,2011,4022

Greatest Common Factor

We found the factors 3714,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 3714,4022 is 2.

Lets's calculate LCM of 601,9992

Lowest Common Multiple of 601,9992 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6005192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6005192

Therefore, the GCF of Fractions 3714/601,4022/9992 is 2/6005192

Least Common Multiple of 601,9992 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 601,9992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,9992) = 1

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

GCF(601,9992) x common factors =1 x 1 = 1

LCM(601,9992) = ( 601 × 9992 ) / 1

LCM(601,9992) = 6005192 / 1

LCM(601,9992) = 6005192

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FAQs on GCF of Fractions of 3714/601, 4022/9992

1. What is the HCF of 3714,4022?

The HCF of 3714,4022 is 2

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 3714/601, 4022/9992?

Answer: GCF of Numerators as per given numbers 3714/601, 4022/9992 is

GCF of Numerators i.e. for 3714,4022 is 2

LCM of denominators i.e. for 601,9992 is 6005192.

Thus, GCF of Fractions is 2/6005192.Finally, GCF of Fractions for 3714/601, 4022/9992 is 2/6005192.