GCF of 6051/968, 1986/1600
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6051/968, 1986/1600 i.e 3/193600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6051/968, 1986/1600.
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 6051/968,1986/1600?
Given fractions are 6051/968,1986/1600
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 6051/968,1986/1600, numerators are 6051,1986
Denominators are 968,1600
The GCF of 6051,1986 is 3 .
LCM of 968,1600 is 193600.
The greatest common factor of 6051/968,1986/1600 = [GCF of 6051,1986]/[LCM of 968,1600]= 3/193600
Therefore, the GCF of 6051/968,1986/1600 is 3/193600.
To find the highest common factor of 6051,1986, we have to find the factors of both numbers and list the highest common factor.
The factors of 6051 are 1, 3, 2017, 6051
The factors of 1986 are 1, 2, 3, 6, 331, 662, 993, 1986
The HCF of 6051,1986 is 3.
Lets's calculate GCF of 6051,1986
| 3 | 6051, 1986 |
| 2017, 662 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6051,1986 By Matching Biggest Common Factor Method
Now, list down the factors of 6051
:1,3,2017,6051
Now, list down the factors of 1986
:1,2,3,6,331,662,993,1986
Greatest Common Factor
We found the factors 6051,1986 . The biggest common factor number is the GCF number.
So the greatest common factor 6051,1986 is 3.
Lets's calculate LCM of 968,1600
| 2 | 968, 1600 |
| 2 | 484, 800 |
| 2 | 242, 400 |
| 121, 200 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 121 x 200 = 193600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/193600
Therefore, the GCF of Fractions 6051/968,1986/1600 is 3/193600
Least Common Multiple of 968,1600 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 968,1600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,1600) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(968,1600) x common factors =8 x 1 = 8
LCM(968,1600) = ( 968 × 1600 ) / 8
LCM(968,1600) = 1548800 / 8
LCM(968,1600) = 193600
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FAQs on GCF of Fractions of 6051/968, 1986/1600
1. What is the HCF of 6051,1986?
The HCF of 6051,1986 is 3
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 6051/968, 1986/1600?
Answer: GCF of Numerators as per given numbers 6051/968, 1986/1600 is
GCF of Numerators i.e. for 6051,1986 is 3
LCM of denominators i.e. for 968,1600 is 193600.
Thus, GCF of Fractions is 3/193600.Finally, GCF of Fractions for 6051/968, 1986/1600 is 3/193600.