GCF of 4986/922, 4656/5423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4986/922, 4656/5423 i.e 6/5000006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4986/922, 4656/5423.
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 4986/922,4656/5423?
Given fractions are 4986/922,4656/5423
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 4986/922,4656/5423, numerators are 4986,4656
Denominators are 922,5423
The GCF of 4986,4656 is 6 .
LCM of 922,5423 is 5000006.
The greatest common factor of 4986/922,4656/5423 = [GCF of 4986,4656]/[LCM of 922,5423]= 6/5000006
Therefore, the GCF of 4986/922,4656/5423 is 6/5000006.
To find the highest common factor of 4986,4656, we have to find the factors of both numbers and list the highest common factor.
The factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986
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 HCF of 4986,4656 is 6.
Lets's calculate GCF of 4986,4656
| 2 | 4986, 4656 |
| 3 | 2493, 2328 |
| 831, 776 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4986,4656 By Matching Biggest Common Factor Method
Now, list down the factors of 4986
:1,2,3,6,9,18,277,554,831,1662,2493,4986
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
Greatest Common Factor
We found the factors 4986,4656 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,4656 is 6.
Lets's calculate LCM of 922,5423
Given numbers has no common factors except 1. So, there LCM is their product i.e 5000006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5000006
Therefore, the GCF of Fractions 4986/922,4656/5423 is 6/5000006
Least Common Multiple of 922,5423 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 922,5423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,5423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(922,5423) x common factors =1 x 1 = 1
LCM(922,5423) = ( 922 × 5423 ) / 1
LCM(922,5423) = 5000006 / 1
LCM(922,5423) = 5000006
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FAQs on GCF of Fractions of 4986/922, 4656/5423
1. What is the HCF of 4986,4656?
The HCF of 4986,4656 is 6
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 4986/922, 4656/5423?
Answer: GCF of Numerators as per given numbers 4986/922, 4656/5423 is
GCF of Numerators i.e. for 4986,4656 is 6
LCM of denominators i.e. for 922,5423 is 5000006.
Thus, GCF of Fractions is 6/5000006.Finally, GCF of Fractions for 4986/922, 4656/5423 is 6/5000006.