GCF of 8001/587, 3420/709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8001/587, 3420/709 i.e 9/416183 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8001/587, 3420/709.
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 8001/587,3420/709?
Given fractions are 8001/587,3420/709
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 8001/587,3420/709, numerators are 8001,3420
Denominators are 587,709
The GCF of 8001,3420 is 9 .
LCM of 587,709 is 416183.
The greatest common factor of 8001/587,3420/709 = [GCF of 8001,3420]/[LCM of 587,709]= 9/416183
Therefore, the GCF of 8001/587,3420/709 is 9/416183.
To find the highest common factor of 8001,3420, we have to find the factors of both numbers and list the highest common factor.
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The factors of 3420 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 19, 20, 30, 36, 38, 45, 57, 60, 76, 90, 95, 114, 171, 180, 190, 228, 285, 342, 380, 570, 684, 855, 1140, 1710, 3420
The HCF of 8001,3420 is 9.
Lets's calculate GCF of 8001,3420
| 3 | 8001, 3420 |
| 3 | 2667, 1140 |
| 889, 380 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 8001,3420 By Matching Biggest Common Factor Method
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Now, list down the factors of 3420
:1,2,3,4,5,6,9,10,12,15,18,19,20,30,36,38,45,57,60,76,90,95,114,171,180,190,228,285,342,380,570,684,855,1140,1710,3420
Greatest Common Factor
We found the factors 8001,3420 . The biggest common factor number is the GCF number.
So the greatest common factor 8001,3420 is 9.
Lets's calculate LCM of 587,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 416183
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/416183
Therefore, the GCF of Fractions 8001/587,3420/709 is 9/416183
Least Common Multiple of 587,709 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 587,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(587,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(587,709) x common factors =1 x 1 = 1
LCM(587,709) = ( 587 × 709 ) / 1
LCM(587,709) = 416183 / 1
LCM(587,709) = 416183
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8001/587, 3420/709
1. What is the HCF of 8001,3420?
The HCF of 8001,3420 is 9
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 8001/587, 3420/709?
Answer: GCF of Numerators as per given numbers 8001/587, 3420/709 is
GCF of Numerators i.e. for 8001,3420 is 9
LCM of denominators i.e. for 587,709 is 416183.
Thus, GCF of Fractions is 9/416183.Finally, GCF of Fractions for 8001/587, 3420/709 is 9/416183.