How to Find GCF of 4001/236, 9581/2203?

GCF of 4001/236, 9581/2203

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 4001/236, 9581/2203 i.e 1/519908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4001/236, 9581/2203.

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 4001/236,9581/2203?

Given fractions are 4001/236,9581/2203

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 4001/236,9581/2203, numerators are 4001,9581

Denominators are 236,2203

The GCF of 4001,9581 is 1 .

LCM of 236,2203 is 519908.

The greatest common factor of 4001/236,9581/2203 = [GCF of 4001,9581]/[LCM of 236,2203]= 1/519908

Therefore, the GCF of 4001/236,9581/2203 is 1/519908.

Greatest Common Factor of 4001,9581

To find the highest common factor of 4001,9581, 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 9581 are 1, 11, 13, 67, 143, 737, 871, 9581

The HCF of 4001,9581 is 1.

Lets's calculate GCF of 4001,9581

Greatest Common Factor (GCF) of 4001,9581 By Common Division

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

Greatest Common Factor of 4001,9581 By Matching Biggest Common Factor Method

Now, list down the factors of 4001

1,4001

Now, list down the factors of 9581

1,11,13,67,143,737,871,9581

Greatest Common Factor

We found the factors 4001,9581 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,9581 is 1.

Lets's calculate LCM of 236,2203

Lowest Common Multiple of 236,2203 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 519908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/519908

Therefore, the GCF of Fractions 4001/236,9581/2203 is 1/519908

Least Common Multiple of 236,2203 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 236,2203 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,2203) = 1

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

GCF(236,2203) x common factors =1 x 1 = 1

LCM(236,2203) = ( 236 × 2203 ) / 1

LCM(236,2203) = 519908 / 1

LCM(236,2203) = 519908

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FAQs on GCF of Fractions of 4001/236, 9581/2203

1. What is the HCF of 4001,9581?

The HCF of 4001,9581 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 4001/236, 9581/2203?

Answer: GCF of Numerators as per given numbers 4001/236, 9581/2203 is

GCF of Numerators i.e. for 4001,9581 is 1

LCM of denominators i.e. for 236,2203 is 519908.

Thus, GCF of Fractions is 1/519908.Finally, GCF of Fractions for 4001/236, 9581/2203 is 1/519908.