GCF of 590/14, 960/428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/14, 960/428 i.e 10/2996 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/14, 960/428.
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 590/14,960/428?
Given fractions are 590/14,960/428
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 590/14,960/428, numerators are 590,960
Denominators are 14,428
The GCF of 590,960 is 10 .
LCM of 14,428 is 2996.
The greatest common factor of 590/14,960/428 = [GCF of 590,960]/[LCM of 14,428]= 10/2996
Therefore, the GCF of 590/14,960/428 is 10/2996.
To find the highest common factor of 590,960, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The HCF of 590,960 is 10.
Lets's calculate GCF of 590,960
| 2 | 590, 960 |
| 5 | 295, 480 |
| 59, 96 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 590,960 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Greatest Common Factor
We found the factors 590,960 . The biggest common factor number is the GCF number.
So the greatest common factor 590,960 is 10.
Lets's calculate LCM of 14,428
| 2 | 14, 428 |
| 7, 214 |
∴ So the LCM of the given numbers is 2 x 7 x 214 = 2996
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2996
Therefore, the GCF of Fractions 590/14,960/428 is 10/2996
Least Common Multiple of 14,428 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 14,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,428) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(14,428) x common factors =2 x 1 = 2
LCM(14,428) = ( 14 × 428 ) / 2
LCM(14,428) = 5992 / 2
LCM(14,428) = 2996
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FAQs on GCF of Fractions of 590/14, 960/428
1. What is the HCF of 590,960?
The HCF of 590,960 is 10
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 590/14, 960/428?
Answer: GCF of Numerators as per given numbers 590/14, 960/428 is
GCF of Numerators i.e. for 590,960 is 10
LCM of denominators i.e. for 14,428 is 2996.
Thus, GCF of Fractions is 10/2996.Finally, GCF of Fractions for 590/14, 960/428 is 10/2996.