GCF of 5865/956, 4973/3918
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/956, 4973/3918 i.e 1/1872804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/956, 4973/3918.
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 5865/956,4973/3918?
Given fractions are 5865/956,4973/3918
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 5865/956,4973/3918, numerators are 5865,4973
Denominators are 956,3918
The GCF of 5865,4973 is 1 .
LCM of 956,3918 is 1872804.
The greatest common factor of 5865/956,4973/3918 = [GCF of 5865,4973]/[LCM of 956,3918]= 1/1872804
Therefore, the GCF of 5865/956,4973/3918 is 1/1872804.
To find the highest common factor of 5865,4973, we have to find the factors of both numbers and list the highest common factor.
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The factors of 4973 are 1, 4973
The HCF of 5865,4973 is 1.
Lets's calculate GCF of 5865,4973
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5865,4973 By Matching Biggest Common Factor Method
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Now, list down the factors of 4973
:1,4973
Greatest Common Factor
We found the factors 5865,4973 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,4973 is 1.
Lets's calculate LCM of 956,3918
| 2 | 956, 3918 |
| 478, 1959 |
∴ So the LCM of the given numbers is 2 x 478 x 1959 = 1872804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1872804
Therefore, the GCF of Fractions 5865/956,4973/3918 is 1/1872804
Least Common Multiple of 956,3918 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 956,3918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,3918) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(956,3918) x common factors =2 x 1 = 2
LCM(956,3918) = ( 956 × 3918 ) / 2
LCM(956,3918) = 3745608 / 2
LCM(956,3918) = 1872804
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5865/956, 4973/3918
1. What is the HCF of 5865,4973?
The HCF of 5865,4973 is 1
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 5865/956, 4973/3918?
Answer: GCF of Numerators as per given numbers 5865/956, 4973/3918 is
GCF of Numerators i.e. for 5865,4973 is 1
LCM of denominators i.e. for 956,3918 is 1872804.
Thus, GCF of Fractions is 1/1872804.Finally, GCF of Fractions for 5865/956, 4973/3918 is 1/1872804.