GCF of 8628/468, 5590/960
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8628/468, 5590/960 i.e 2/37440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8628/468, 5590/960.
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 8628/468,5590/960?
Given fractions are 8628/468,5590/960
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 8628/468,5590/960, numerators are 8628,5590
Denominators are 468,960
The GCF of 8628,5590 is 2 .
LCM of 468,960 is 37440.
The greatest common factor of 8628/468,5590/960 = [GCF of 8628,5590]/[LCM of 468,960]= 2/37440
Therefore, the GCF of 8628/468,5590/960 is 2/37440.
To find the highest common factor of 8628,5590, we have to find the factors of both numbers and list the highest common factor.
The factors of 8628 are 1, 2, 3, 4, 6, 12, 719, 1438, 2157, 2876, 4314, 8628
The factors of 5590 are 1, 2, 5, 10, 13, 26, 43, 65, 86, 130, 215, 430, 559, 1118, 2795, 5590
The HCF of 8628,5590 is 2.
Lets's calculate GCF of 8628,5590
| 2 | 8628, 5590 |
| 4314, 2795 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8628,5590 By Matching Biggest Common Factor Method
Now, list down the factors of 8628
:1,2,3,4,6,12,719,1438,2157,2876,4314,8628
Now, list down the factors of 5590
:1,2,5,10,13,26,43,65,86,130,215,430,559,1118,2795,5590
Greatest Common Factor
We found the factors 8628,5590 . The biggest common factor number is the GCF number.
So the greatest common factor 8628,5590 is 2.
Lets's calculate LCM of 468,960
| 2 | 468, 960 |
| 2 | 234, 480 |
| 3 | 117, 240 |
| 39, 80 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 39 x 80 = 37440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37440
Therefore, the GCF of Fractions 8628/468,5590/960 is 2/37440
Least Common Multiple of 468,960 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 468,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,960) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(468,960) x common factors =12 x 1 = 12
LCM(468,960) = ( 468 × 960 ) / 12
LCM(468,960) = 449280 / 12
LCM(468,960) = 37440
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8628/468, 5590/960
1. What is the HCF of 8628,5590?
The HCF of 8628,5590 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 8628/468, 5590/960?
Answer: GCF of Numerators as per given numbers 8628/468, 5590/960 is
GCF of Numerators i.e. for 8628,5590 is 2
LCM of denominators i.e. for 468,960 is 37440.
Thus, GCF of Fractions is 2/37440.Finally, GCF of Fractions for 8628/468, 5590/960 is 2/37440.