GCF of 216/939, 5874/799
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 216/939, 5874/799 i.e 6/750261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 216/939, 5874/799.
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 216/939,5874/799?
Given fractions are 216/939,5874/799
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 216/939,5874/799, numerators are 216,5874
Denominators are 939,799
The GCF of 216,5874 is 6 .
LCM of 939,799 is 750261.
The greatest common factor of 216/939,5874/799 = [GCF of 216,5874]/[LCM of 939,799]= 6/750261
Therefore, the GCF of 216/939,5874/799 is 6/750261.
To find the highest common factor of 216,5874, we have to find the factors of both numbers and list the highest common factor.
The factors of 216 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
The factors of 5874 are 1, 2, 3, 6, 11, 22, 33, 66, 89, 178, 267, 534, 979, 1958, 2937, 5874
The HCF of 216,5874 is 6.
Lets's calculate GCF of 216,5874
| 2 | 216, 5874 |
| 3 | 108, 2937 |
| 36, 979 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 216,5874 By Matching Biggest Common Factor Method
Now, list down the factors of 216
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Now, list down the factors of 5874
:1,2,3,6,11,22,33,66,89,178,267,534,979,1958,2937,5874
Greatest Common Factor
We found the factors 216,5874 . The biggest common factor number is the GCF number.
So the greatest common factor 216,5874 is 6.
Lets's calculate LCM of 939,799
Given numbers has no common factors except 1. So, there LCM is their product i.e 750261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/750261
Therefore, the GCF of Fractions 216/939,5874/799 is 6/750261
Least Common Multiple of 939,799 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 939,799 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(939,799) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(939,799) x common factors =1 x 1 = 1
LCM(939,799) = ( 939 × 799 ) / 1
LCM(939,799) = 750261 / 1
LCM(939,799) = 750261
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 216/939, 5874/799
1. What is the HCF of 216,5874?
The HCF of 216,5874 is 6
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 216/939, 5874/799?
Answer: GCF of Numerators as per given numbers 216/939, 5874/799 is
GCF of Numerators i.e. for 216,5874 is 6
LCM of denominators i.e. for 939,799 is 750261.
Thus, GCF of Fractions is 6/750261.Finally, GCF of Fractions for 216/939, 5874/799 is 6/750261.