LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 4144/307, 8001/1717

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 4144/307, 8001/1717 i.e 7/527119 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4144/307, 8001/1717.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4144/307,8001/1717?

Given fractions are 4144/307,8001/1717

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 4144/307,8001/1717, numerators are 4144,8001

Denominators are 307,1717

The GCF of 4144,8001 is 7 .

LCM of 307,1717 is 527119.

The greatest common factor of 4144/307,8001/1717 = [GCF of 4144,8001]/[LCM of 307,1717]= 7/527119

Therefore, the GCF of 4144/307,8001/1717 is 7/527119.

Greatest Common Factor of 4144,8001

To find the highest common factor of 4144,8001, we have to find the factors of both numbers and list the highest common factor.

The factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144

The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001

The HCF of 4144,8001 is 7.

Lets's calculate GCF of 4144,8001

Greatest Common Factor (GCF) of 4144,8001 By Common Division

7 4144, 8001
592, 1143

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4144,8001 By Matching Biggest Common Factor Method

Greatest Common Factor of 4144,8001 By Matching Biggest Common Factor Method

Now, list down the factors of 4144

:

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Now, list down the factors of 8001

:

1,3,7,9,21,63,127,381,889,1143,2667,8001

Greatest Common Factor

We found the factors 4144,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 4144,8001 is 7.


Lets's calculate LCM of 307,1717

Lowest Common Multiple of 307,1717 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 527119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/527119

Therefore, the GCF of Fractions 4144/307,8001/1717 is 7/527119

Least Common Multiple of 307,1717 with GCF Formula

Least Common Multiple of 307,1717 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 307,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,1717) = 1

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

GCF(307,1717) x common factors =1 x 1 = 1

LCM(307,1717) = ( 307 × 1717 ) / 1

LCM(307,1717) = 527119 / 1

LCM(307,1717) = 527119


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4144/307, 8001/1717

1. What is the HCF of 4144,8001?

The HCF of 4144,8001 is 7

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 4144/307, 8001/1717?

Answer: GCF of Numerators as per given numbers 4144/307, 8001/1717 is

GCF of Numerators i.e. for 4144,8001 is 7

LCM of denominators i.e. for 307,1717 is 527119.

Thus, GCF of Fractions is 7/527119.Finally, GCF of Fractions for 4144/307, 8001/1717 is 7/527119.