GCF of 8612/594, 4968/5668
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8612/594, 4968/5668 i.e 4/1683396 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8612/594, 4968/5668.
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 8612/594,4968/5668?
Given fractions are 8612/594,4968/5668
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 8612/594,4968/5668, numerators are 8612,4968
Denominators are 594,5668
The GCF of 8612,4968 is 4 .
LCM of 594,5668 is 1683396.
The greatest common factor of 8612/594,4968/5668 = [GCF of 8612,4968]/[LCM of 594,5668]= 4/1683396
Therefore, the GCF of 8612/594,4968/5668 is 4/1683396.
To find the highest common factor of 8612,4968, we have to find the factors of both numbers and list the highest common factor.
The factors of 8612 are 1, 2, 4, 2153, 4306, 8612
The factors of 4968 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 27, 36, 46, 54, 69, 72, 92, 108, 138, 184, 207, 216, 276, 414, 552, 621, 828, 1242, 1656, 2484, 4968
The HCF of 8612,4968 is 4.
Lets's calculate GCF of 8612,4968
| 2 | 8612, 4968 |
| 2 | 4306, 2484 |
| 2153, 1242 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8612,4968 By Matching Biggest Common Factor Method
Now, list down the factors of 8612
:1,2,4,2153,4306,8612
Now, list down the factors of 4968
:1,2,3,4,6,8,9,12,18,23,24,27,36,46,54,69,72,92,108,138,184,207,216,276,414,552,621,828,1242,1656,2484,4968
Greatest Common Factor
We found the factors 8612,4968 . The biggest common factor number is the GCF number.
So the greatest common factor 8612,4968 is 4.
Lets's calculate LCM of 594,5668
| 2 | 594, 5668 |
| 297, 2834 |
∴ So the LCM of the given numbers is 2 x 297 x 2834 = 1683396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1683396
Therefore, the GCF of Fractions 8612/594,4968/5668 is 4/1683396
Least Common Multiple of 594,5668 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 594,5668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(594,5668) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(594,5668) x common factors =2 x 1 = 2
LCM(594,5668) = ( 594 × 5668 ) / 2
LCM(594,5668) = 3366792 / 2
LCM(594,5668) = 1683396
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FAQs on GCF of Fractions of 8612/594, 4968/5668
1. What is the HCF of 8612,4968?
The HCF of 8612,4968 is 4
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 8612/594, 4968/5668?
Answer: GCF of Numerators as per given numbers 8612/594, 4968/5668 is
GCF of Numerators i.e. for 8612,4968 is 4
LCM of denominators i.e. for 594,5668 is 1683396.
Thus, GCF of Fractions is 4/1683396.Finally, GCF of Fractions for 8612/594, 4968/5668 is 4/1683396.