How to Find GCF of 4001/360, 8108/5651?

GCF of 4001/360, 8108/5651

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 4001/360, 8108/5651 i.e 1/2034360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4001/360, 8108/5651.

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 4001/360,8108/5651?

Given fractions are 4001/360,8108/5651

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 4001/360,8108/5651, numerators are 4001,8108

Denominators are 360,5651

The GCF of 4001,8108 is 1 .

LCM of 360,5651 is 2034360.

The greatest common factor of 4001/360,8108/5651 = [GCF of 4001,8108]/[LCM of 360,5651]= 1/2034360

Therefore, the GCF of 4001/360,8108/5651 is 1/2034360.

Greatest Common Factor of 4001,8108

To find the highest common factor of 4001,8108, we have to find the factors of both numbers and list the highest common factor.

The factors of 4001 are 1, 4001

The factors of 8108 are 1, 2, 4, 2027, 4054, 8108

The HCF of 4001,8108 is 1.

Lets's calculate GCF of 4001,8108

Greatest Common Factor (GCF) of 4001,8108 By Common Division

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

Greatest Common Factor of 4001,8108 By Matching Biggest Common Factor Method

Now, list down the factors of 4001

1,4001

Now, list down the factors of 8108

1,2,4,2027,4054,8108

Greatest Common Factor

We found the factors 4001,8108 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,8108 is 1.

Lets's calculate LCM of 360,5651

Lowest Common Multiple of 360,5651 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2034360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2034360

Therefore, the GCF of Fractions 4001/360,8108/5651 is 1/2034360

Least Common Multiple of 360,5651 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 360,5651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,5651) = 1

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

GCF(360,5651) x common factors =1 x 1 = 1

LCM(360,5651) = ( 360 × 5651 ) / 1

LCM(360,5651) = 2034360 / 1

LCM(360,5651) = 2034360

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FAQs on GCF of Fractions of 4001/360, 8108/5651

1. What is the HCF of 4001,8108?

The HCF of 4001,8108 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 4001/360, 8108/5651?

Answer: GCF of Numerators as per given numbers 4001/360, 8108/5651 is

GCF of Numerators i.e. for 4001,8108 is 1

LCM of denominators i.e. for 360,5651 is 2034360.

Thus, GCF of Fractions is 1/2034360.Finally, GCF of Fractions for 4001/360, 8108/5651 is 1/2034360.