GCF of 3624/928, 8744/1729
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3624/928, 8744/1729 i.e 8/1604512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3624/928, 8744/1729.
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 3624/928,8744/1729?
Given fractions are 3624/928,8744/1729
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 3624/928,8744/1729, numerators are 3624,8744
Denominators are 928,1729
The GCF of 3624,8744 is 8 .
LCM of 928,1729 is 1604512.
The greatest common factor of 3624/928,8744/1729 = [GCF of 3624,8744]/[LCM of 928,1729]= 8/1604512
Therefore, the GCF of 3624/928,8744/1729 is 8/1604512.
To find the highest common factor of 3624,8744, we have to find the factors of both numbers and list the highest common factor.
The factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624
The factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744
The HCF of 3624,8744 is 8.
Lets's calculate GCF of 3624,8744
| 2 | 3624, 8744 |
| 2 | 1812, 4372 |
| 2 | 906, 2186 |
| 453, 1093 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3624,8744 By Matching Biggest Common Factor Method
Now, list down the factors of 3624
:1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624
Now, list down the factors of 8744
:1,2,4,8,1093,2186,4372,8744
Greatest Common Factor
We found the factors 3624,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 3624,8744 is 8.
Lets's calculate LCM of 928,1729
Given numbers has no common factors except 1. So, there LCM is their product i.e 1604512
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1604512
Therefore, the GCF of Fractions 3624/928,8744/1729 is 8/1604512
Least Common Multiple of 928,1729 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 928,1729 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(928,1729) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(928,1729) x common factors =1 x 1 = 1
LCM(928,1729) = ( 928 × 1729 ) / 1
LCM(928,1729) = 1604512 / 1
LCM(928,1729) = 1604512
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3624/928, 8744/1729
1. What is the HCF of 3624,8744?
The HCF of 3624,8744 is 8
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 3624/928, 8744/1729?
Answer: GCF of Numerators as per given numbers 3624/928, 8744/1729 is
GCF of Numerators i.e. for 3624,8744 is 8
LCM of denominators i.e. for 928,1729 is 1604512.
Thus, GCF of Fractions is 8/1604512.Finally, GCF of Fractions for 3624/928, 8744/1729 is 8/1604512.