How to Find GCF of 4001/961, 2677/5073?

GCF of 4001/961, 2677/5073

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 4001/961, 2677/5073 i.e 1/4875153 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4001/961, 2677/5073.

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 4001/961,2677/5073?

Given fractions are 4001/961,2677/5073

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 4001/961,2677/5073, numerators are 4001,2677

Denominators are 961,5073

The GCF of 4001,2677 is 1 .

LCM of 961,5073 is 4875153.

The greatest common factor of 4001/961,2677/5073 = [GCF of 4001,2677]/[LCM of 961,5073]= 1/4875153

Therefore, the GCF of 4001/961,2677/5073 is 1/4875153.

Greatest Common Factor of 4001,2677

To find the highest common factor of 4001,2677, 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 2677 are 1, 2677

The HCF of 4001,2677 is 1.

Lets's calculate GCF of 4001,2677

Greatest Common Factor (GCF) of 4001,2677 By Common Division

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

Greatest Common Factor of 4001,2677 By Matching Biggest Common Factor Method

Now, list down the factors of 4001

1,4001

Now, list down the factors of 2677

1,2677

Greatest Common Factor

We found the factors 4001,2677 . The biggest common factor number is the GCF number.
So the greatest common factor 4001,2677 is 1.

Lets's calculate LCM of 961,5073

Lowest Common Multiple of 961,5073 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4875153

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4875153

Therefore, the GCF of Fractions 4001/961,2677/5073 is 1/4875153

Least Common Multiple of 961,5073 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 961,5073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(961,5073) = 1

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

GCF(961,5073) x common factors =1 x 1 = 1

LCM(961,5073) = ( 961 × 5073 ) / 1

LCM(961,5073) = 4875153 / 1

LCM(961,5073) = 4875153

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4001/961, 2677/5073

1. What is the HCF of 4001,2677?

The HCF of 4001,2677 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 4001/961, 2677/5073?

Answer: GCF of Numerators as per given numbers 4001/961, 2677/5073 is

GCF of Numerators i.e. for 4001,2677 is 1

LCM of denominators i.e. for 961,5073 is 4875153.

Thus, GCF of Fractions is 1/4875153.Finally, GCF of Fractions for 4001/961, 2677/5073 is 1/4875153.