GCF of 5992/715, 1212/440
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5992/715, 1212/440 i.e 4/5720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5992/715, 1212/440.
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 5992/715,1212/440?
Given fractions are 5992/715,1212/440
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 5992/715,1212/440, numerators are 5992,1212
Denominators are 715,440
The GCF of 5992,1212 is 4 .
LCM of 715,440 is 5720.
The greatest common factor of 5992/715,1212/440 = [GCF of 5992,1212]/[LCM of 715,440]= 4/5720
Therefore, the GCF of 5992/715,1212/440 is 4/5720.
To find the highest common factor of 5992,1212, we have to find the factors of both numbers and list the highest common factor.
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The factors of 1212 are 1, 2, 3, 4, 6, 12, 101, 202, 303, 404, 606, 1212
The HCF of 5992,1212 is 4.
Lets's calculate GCF of 5992,1212
| 2 | 5992, 1212 |
| 2 | 2996, 606 |
| 1498, 303 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 5992,1212 By Matching Biggest Common Factor Method
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Now, list down the factors of 1212
:1,2,3,4,6,12,101,202,303,404,606,1212
Greatest Common Factor
We found the factors 5992,1212 . The biggest common factor number is the GCF number.
So the greatest common factor 5992,1212 is 4.
Lets's calculate LCM of 715,440
| 5 | 715, 440 |
| 11 | 143, 88 |
| 13, 8 |
∴ So the LCM of the given numbers is 5 x 11 x 13 x 8 = 5720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5720
Therefore, the GCF of Fractions 5992/715,1212/440 is 4/5720
Least Common Multiple of 715,440 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 715,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,440) = 55
common factors(in case of two or more numbers have common factors) = 1
GCF(715,440) x common factors =55 x 1 = 55
LCM(715,440) = ( 715 × 440 ) / 55
LCM(715,440) = 314600 / 55
LCM(715,440) = 5720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5992/715, 1212/440
1. What is the HCF of 5992,1212?
The HCF of 5992,1212 is 4
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 5992/715, 1212/440?
Answer: GCF of Numerators as per given numbers 5992/715, 1212/440 is
GCF of Numerators i.e. for 5992,1212 is 4
LCM of denominators i.e. for 715,440 is 5720.
Thus, GCF of Fractions is 4/5720.Finally, GCF of Fractions for 5992/715, 1212/440 is 4/5720.