GCF of 4968/449, 5956/3714
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4968/449, 5956/3714 i.e 4/1667586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4968/449, 5956/3714.
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 4968/449,5956/3714?
Given fractions are 4968/449,5956/3714
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 4968/449,5956/3714, numerators are 4968,5956
Denominators are 449,3714
The GCF of 4968,5956 is 4 .
LCM of 449,3714 is 1667586.
The greatest common factor of 4968/449,5956/3714 = [GCF of 4968,5956]/[LCM of 449,3714]= 4/1667586
Therefore, the GCF of 4968/449,5956/3714 is 4/1667586.
To find the highest common factor of 4968,5956, we have to find the factors of both numbers and list the highest common factor.
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 factors of 5956 are 1, 2, 4, 1489, 2978, 5956
The HCF of 4968,5956 is 4.
Lets's calculate GCF of 4968,5956
| 2 | 4968, 5956 |
| 2 | 2484, 2978 |
| 1242, 1489 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4968,5956 By Matching Biggest Common Factor Method
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
Now, list down the factors of 5956
:1,2,4,1489,2978,5956
Greatest Common Factor
We found the factors 4968,5956 . The biggest common factor number is the GCF number.
So the greatest common factor 4968,5956 is 4.
Lets's calculate LCM of 449,3714
Given numbers has no common factors except 1. So, there LCM is their product i.e 1667586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1667586
Therefore, the GCF of Fractions 4968/449,5956/3714 is 4/1667586
Least Common Multiple of 449,3714 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 449,3714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,3714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,3714) x common factors =1 x 1 = 1
LCM(449,3714) = ( 449 × 3714 ) / 1
LCM(449,3714) = 1667586 / 1
LCM(449,3714) = 1667586
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FAQs on GCF of Fractions of 4968/449, 5956/3714
1. What is the HCF of 4968,5956?
The HCF of 4968,5956 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 4968/449, 5956/3714?
Answer: GCF of Numerators as per given numbers 4968/449, 5956/3714 is
GCF of Numerators i.e. for 4968,5956 is 4
LCM of denominators i.e. for 449,3714 is 1667586.
Thus, GCF of Fractions is 4/1667586.Finally, GCF of Fractions for 4968/449, 5956/3714 is 4/1667586.