GCF of 3450/720, 8584/370
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3450/720, 8584/370 i.e 2/26640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3450/720, 8584/370.
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 3450/720,8584/370?
Given fractions are 3450/720,8584/370
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 3450/720,8584/370, numerators are 3450,8584
Denominators are 720,370
The GCF of 3450,8584 is 2 .
LCM of 720,370 is 26640.
The greatest common factor of 3450/720,8584/370 = [GCF of 3450,8584]/[LCM of 720,370]= 2/26640
Therefore, the GCF of 3450/720,8584/370 is 2/26640.
To find the highest common factor of 3450,8584, we have to find the factors of both numbers and list the highest common factor.
The factors of 3450 are 1, 2, 3, 5, 6, 10, 15, 23, 25, 30, 46, 50, 69, 75, 115, 138, 150, 230, 345, 575, 690, 1150, 1725, 3450
The factors of 8584 are 1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292, 8584
The HCF of 3450,8584 is 2.
Lets's calculate GCF of 3450,8584
| 2 | 3450, 8584 |
| 1725, 4292 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3450,8584 By Matching Biggest Common Factor Method
Now, list down the factors of 3450
:1,2,3,5,6,10,15,23,25,30,46,50,69,75,115,138,150,230,345,575,690,1150,1725,3450
Now, list down the factors of 8584
:1,2,4,8,29,37,58,74,116,148,232,296,1073,2146,4292,8584
Greatest Common Factor
We found the factors 3450,8584 . The biggest common factor number is the GCF number.
So the greatest common factor 3450,8584 is 2.
Lets's calculate LCM of 720,370
| 2 | 720, 370 |
| 5 | 360, 185 |
| 72, 37 |
∴ So the LCM of the given numbers is 2 x 5 x 72 x 37 = 26640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26640
Therefore, the GCF of Fractions 3450/720,8584/370 is 2/26640
Least Common Multiple of 720,370 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 720,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(720,370) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(720,370) x common factors =10 x 1 = 10
LCM(720,370) = ( 720 × 370 ) / 10
LCM(720,370) = 266400 / 10
LCM(720,370) = 26640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3450/720, 8584/370
1. What is the HCF of 3450,8584?
The HCF of 3450,8584 is 2
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 3450/720, 8584/370?
Answer: GCF of Numerators as per given numbers 3450/720, 8584/370 is
GCF of Numerators i.e. for 3450,8584 is 2
LCM of denominators i.e. for 720,370 is 26640.
Thus, GCF of Fractions is 2/26640.Finally, GCF of Fractions for 3450/720, 8584/370 is 2/26640.