GCF of 5846/989, 3084/1779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5846/989, 3084/1779 i.e 2/1759431 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5846/989, 3084/1779.
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 5846/989,3084/1779?
Given fractions are 5846/989,3084/1779
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 5846/989,3084/1779, numerators are 5846,3084
Denominators are 989,1779
The GCF of 5846,3084 is 2 .
LCM of 989,1779 is 1759431.
The greatest common factor of 5846/989,3084/1779 = [GCF of 5846,3084]/[LCM of 989,1779]= 2/1759431
Therefore, the GCF of 5846/989,3084/1779 is 2/1759431.
To find the highest common factor of 5846,3084, we have to find the factors of both numbers and list the highest common factor.
The factors of 5846 are 1, 2, 37, 74, 79, 158, 2923, 5846
The factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084
The HCF of 5846,3084 is 2.
Lets's calculate GCF of 5846,3084
| 2 | 5846, 3084 |
| 2923, 1542 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5846,3084 By Matching Biggest Common Factor Method
Now, list down the factors of 5846
:1,2,37,74,79,158,2923,5846
Now, list down the factors of 3084
:1,2,3,4,6,12,257,514,771,1028,1542,3084
Greatest Common Factor
We found the factors 5846,3084 . The biggest common factor number is the GCF number.
So the greatest common factor 5846,3084 is 2.
Lets's calculate LCM of 989,1779
Given numbers has no common factors except 1. So, there LCM is their product i.e 1759431
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1759431
Therefore, the GCF of Fractions 5846/989,3084/1779 is 2/1759431
Least Common Multiple of 989,1779 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 989,1779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,1779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,1779) x common factors =1 x 1 = 1
LCM(989,1779) = ( 989 × 1779 ) / 1
LCM(989,1779) = 1759431 / 1
LCM(989,1779) = 1759431
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5846/989, 3084/1779
1. What is the HCF of 5846,3084?
The HCF of 5846,3084 is 2
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 5846/989, 3084/1779?
Answer: GCF of Numerators as per given numbers 5846/989, 3084/1779 is
GCF of Numerators i.e. for 5846,3084 is 2
LCM of denominators i.e. for 989,1779 is 1759431.
Thus, GCF of Fractions is 2/1759431.Finally, GCF of Fractions for 5846/989, 3084/1779 is 2/1759431.