GCF of 4656/514, 8062/5984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4656/514, 8062/5984 i.e 2/1537888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4656/514, 8062/5984.
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 4656/514,8062/5984?
Given fractions are 4656/514,8062/5984
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 4656/514,8062/5984, numerators are 4656,8062
Denominators are 514,5984
The GCF of 4656,8062 is 2 .
LCM of 514,5984 is 1537888.
The greatest common factor of 4656/514,8062/5984 = [GCF of 4656,8062]/[LCM of 514,5984]= 2/1537888
Therefore, the GCF of 4656/514,8062/5984 is 2/1537888.
To find the highest common factor of 4656,8062, we have to find the factors of both numbers and list the highest common factor.
The factors of 4656 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 4656
The factors of 8062 are 1, 2, 29, 58, 139, 278, 4031, 8062
The HCF of 4656,8062 is 2.
Lets's calculate GCF of 4656,8062
| 2 | 4656, 8062 |
| 2328, 4031 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4656,8062 By Matching Biggest Common Factor Method
Now, list down the factors of 4656
:1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656
Now, list down the factors of 8062
:1,2,29,58,139,278,4031,8062
Greatest Common Factor
We found the factors 4656,8062 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,8062 is 2.
Lets's calculate LCM of 514,5984
| 2 | 514, 5984 |
| 257, 2992 |
∴ So the LCM of the given numbers is 2 x 257 x 2992 = 1537888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1537888
Therefore, the GCF of Fractions 4656/514,8062/5984 is 2/1537888
Least Common Multiple of 514,5984 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 514,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,5984) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,5984) x common factors =2 x 1 = 2
LCM(514,5984) = ( 514 × 5984 ) / 2
LCM(514,5984) = 3075776 / 2
LCM(514,5984) = 1537888
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FAQs on GCF of Fractions of 4656/514, 8062/5984
1. What is the HCF of 4656,8062?
The HCF of 4656,8062 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 4656/514, 8062/5984?
Answer: GCF of Numerators as per given numbers 4656/514, 8062/5984 is
GCF of Numerators i.e. for 4656,8062 is 2
LCM of denominators i.e. for 514,5984 is 1537888.
Thus, GCF of Fractions is 2/1537888.Finally, GCF of Fractions for 4656/514, 8062/5984 is 2/1537888.