GCF of 588/359, 9968/5418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 588/359, 9968/5418 i.e 28/1945062 easily. The following is the detailed procedure to determine the greatest common factor of fractions 588/359, 9968/5418.
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 588/359,9968/5418?
Given fractions are 588/359,9968/5418
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 588/359,9968/5418, numerators are 588,9968
Denominators are 359,5418
The GCF of 588,9968 is 28 .
LCM of 359,5418 is 1945062.
The greatest common factor of 588/359,9968/5418 = [GCF of 588,9968]/[LCM of 359,5418]= 28/1945062
Therefore, the GCF of 588/359,9968/5418 is 28/1945062.
To find the highest common factor of 588,9968, we have to find the factors of both numbers and list the highest common factor.
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
The factors of 9968 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 89, 112, 178, 356, 623, 712, 1246, 1424, 2492, 4984, 9968
The HCF of 588,9968 is 28.
Lets's calculate GCF of 588,9968
| 2 | 588, 9968 |
| 2 | 294, 4984 |
| 7 | 147, 2492 |
| 21, 356 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 588,9968 By Matching Biggest Common Factor Method
Now, list down the factors of 588
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Now, list down the factors of 9968
:1,2,4,7,8,14,16,28,56,89,112,178,356,623,712,1246,1424,2492,4984,9968
Greatest Common Factor
We found the factors 588,9968 . The biggest common factor number is the GCF number.
So the greatest common factor 588,9968 is 28.
Lets's calculate LCM of 359,5418
Given numbers has no common factors except 1. So, there LCM is their product i.e 1945062
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/1945062
Therefore, the GCF of Fractions 588/359,9968/5418 is 28/1945062
Least Common Multiple of 359,5418 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 359,5418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(359,5418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(359,5418) x common factors =1 x 1 = 1
LCM(359,5418) = ( 359 × 5418 ) / 1
LCM(359,5418) = 1945062 / 1
LCM(359,5418) = 1945062
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 588/359, 9968/5418
1. What is the HCF of 588,9968?
The HCF of 588,9968 is 28
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 588/359, 9968/5418?
Answer: GCF of Numerators as per given numbers 588/359, 9968/5418 is
GCF of Numerators i.e. for 588,9968 is 28
LCM of denominators i.e. for 359,5418 is 1945062.
Thus, GCF of Fractions is 28/1945062.Finally, GCF of Fractions for 588/359, 9968/5418 is 28/1945062.