How to Find GCF of 6395/601, 1001/5401?

GCF of 6395/601, 1001/5401

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 6395/601, 1001/5401 i.e 1/3246001 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6395/601, 1001/5401.

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 6395/601,1001/5401?

Given fractions are 6395/601,1001/5401

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 6395/601,1001/5401, numerators are 6395,1001

Denominators are 601,5401

The GCF of 6395,1001 is 1 .

LCM of 601,5401 is 3246001.

The greatest common factor of 6395/601,1001/5401 = [GCF of 6395,1001]/[LCM of 601,5401]= 1/3246001

Therefore, the GCF of 6395/601,1001/5401 is 1/3246001.

Greatest Common Factor of 6395,1001

To find the highest common factor of 6395,1001, we have to find the factors of both numbers and list the highest common factor.

The factors of 6395 are 1, 5, 1279, 6395

The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001

The HCF of 6395,1001 is 1.

Lets's calculate GCF of 6395,1001

Greatest Common Factor (GCF) of 6395,1001 By Common Division

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

Greatest Common Factor of 6395,1001 By Matching Biggest Common Factor Method

Now, list down the factors of 6395

1,5,1279,6395

Now, list down the factors of 1001

1,7,11,13,77,91,143,1001

Greatest Common Factor

We found the factors 6395,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 6395,1001 is 1.

Lets's calculate LCM of 601,5401

Lowest Common Multiple of 601,5401 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3246001

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3246001

Therefore, the GCF of Fractions 6395/601,1001/5401 is 1/3246001

Least Common Multiple of 601,5401 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 601,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(601,5401) = 1

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

GCF(601,5401) x common factors =1 x 1 = 1

LCM(601,5401) = ( 601 × 5401 ) / 1

LCM(601,5401) = 3246001 / 1

LCM(601,5401) = 3246001

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FAQs on GCF of Fractions of 6395/601, 1001/5401

1. What is the HCF of 6395,1001?

The HCF of 6395,1001 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 6395/601, 1001/5401?

Answer: GCF of Numerators as per given numbers 6395/601, 1001/5401 is

GCF of Numerators i.e. for 6395,1001 is 1

LCM of denominators i.e. for 601,5401 is 3246001.

Thus, GCF of Fractions is 1/3246001.Finally, GCF of Fractions for 6395/601, 1001/5401 is 1/3246001.