GCF of 2964/984, 5985/5491
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2964/984, 5985/5491 i.e 57/5403144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2964/984, 5985/5491.
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 2964/984,5985/5491?
Given fractions are 2964/984,5985/5491
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 2964/984,5985/5491, numerators are 2964,5985
Denominators are 984,5491
The GCF of 2964,5985 is 57 .
LCM of 984,5491 is 5403144.
The greatest common factor of 2964/984,5985/5491 = [GCF of 2964,5985]/[LCM of 984,5491]= 57/5403144
Therefore, the GCF of 2964/984,5985/5491 is 57/5403144.
To find the highest common factor of 2964,5985, we have to find the factors of both numbers and list the highest common factor.
The factors of 2964 are 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114, 156, 228, 247, 494, 741, 988, 1482, 2964
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 HCF of 2964,5985 is 57.
Lets's calculate GCF of 2964,5985
| 3 | 2964, 5985 |
| 19 | 988, 1995 |
| 52, 105 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Greatest Common Factor of 2964,5985 By Matching Biggest Common Factor Method
Now, list down the factors of 2964
:1,2,3,4,6,12,13,19,26,38,39,52,57,76,78,114,156,228,247,494,741,988,1482,2964
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
Greatest Common Factor
We found the factors 2964,5985 . The biggest common factor number is the GCF number.
So the greatest common factor 2964,5985 is 57.
Lets's calculate LCM of 984,5491
Given numbers has no common factors except 1. So, there LCM is their product i.e 5403144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/5403144
Therefore, the GCF of Fractions 2964/984,5985/5491 is 57/5403144
Least Common Multiple of 984,5491 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 984,5491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(984,5491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(984,5491) x common factors =1 x 1 = 1
LCM(984,5491) = ( 984 × 5491 ) / 1
LCM(984,5491) = 5403144 / 1
LCM(984,5491) = 5403144
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2964/984, 5985/5491
1. What is the HCF of 2964,5985?
The HCF of 2964,5985 is 57
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 2964/984, 5985/5491?
Answer: GCF of Numerators as per given numbers 2964/984, 5985/5491 is
GCF of Numerators i.e. for 2964,5985 is 57
LCM of denominators i.e. for 984,5491 is 5403144.
Thus, GCF of Fractions is 57/5403144.Finally, GCF of Fractions for 2964/984, 5985/5491 is 57/5403144.