GCF of 5985/968, 6867/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5985/968, 6867/927 i.e 63/897336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5985/968, 6867/927.
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 5985/968,6867/927?
Given fractions are 5985/968,6867/927
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 5985/968,6867/927, numerators are 5985,6867
Denominators are 968,927
The GCF of 5985,6867 is 63 .
LCM of 968,927 is 897336.
The greatest common factor of 5985/968,6867/927 = [GCF of 5985,6867]/[LCM of 968,927]= 63/897336
Therefore, the GCF of 5985/968,6867/927 is 63/897336.
To find the highest common factor of 5985,6867, we have to find the factors of both numbers and list the highest common factor.
The factors of 5985 are 1, 3, 5, 7, 9, 15, 19, 21, 35, 45, 57, 63, 95, 105, 133, 171, 285, 315, 399, 665, 855, 1197, 1995, 5985
The factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867
The HCF of 5985,6867 is 63.
Lets's calculate GCF of 5985,6867
| 3 | 5985, 6867 |
| 3 | 1995, 2289 |
| 7 | 665, 763 |
| 95, 109 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 5985,6867 By Matching Biggest Common Factor Method
Now, list down the factors of 5985
:1,3,5,7,9,15,19,21,35,45,57,63,95,105,133,171,285,315,399,665,855,1197,1995,5985
Now, list down the factors of 6867
:1,3,7,9,21,63,109,327,763,981,2289,6867
Greatest Common Factor
We found the factors 5985,6867 . The biggest common factor number is the GCF number.
So the greatest common factor 5985,6867 is 63.
Lets's calculate LCM of 968,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 897336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/897336
Therefore, the GCF of Fractions 5985/968,6867/927 is 63/897336
Least Common Multiple of 968,927 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 968,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(968,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(968,927) x common factors =1 x 1 = 1
LCM(968,927) = ( 968 × 927 ) / 1
LCM(968,927) = 897336 / 1
LCM(968,927) = 897336
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FAQs on GCF of Fractions of 5985/968, 6867/927
1. What is the HCF of 5985,6867?
The HCF of 5985,6867 is 63
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 5985/968, 6867/927?
Answer: GCF of Numerators as per given numbers 5985/968, 6867/927 is
GCF of Numerators i.e. for 5985,6867 is 63
LCM of denominators i.e. for 968,927 is 897336.
Thus, GCF of Fractions is 63/897336.Finally, GCF of Fractions for 5985/968, 6867/927 is 63/897336.