GCF of 2780/423, 5992/4716
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2780/423, 5992/4716 i.e 4/221652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2780/423, 5992/4716.
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 2780/423,5992/4716?
Given fractions are 2780/423,5992/4716
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 2780/423,5992/4716, numerators are 2780,5992
Denominators are 423,4716
The GCF of 2780,5992 is 4 .
LCM of 423,4716 is 221652.
The greatest common factor of 2780/423,5992/4716 = [GCF of 2780,5992]/[LCM of 423,4716]= 4/221652
Therefore, the GCF of 2780/423,5992/4716 is 4/221652.
To find the highest common factor of 2780,5992, we have to find the factors of both numbers and list the highest common factor.
The factors of 2780 are 1, 2, 4, 5, 10, 20, 139, 278, 556, 695, 1390, 2780
The factors of 5992 are 1, 2, 4, 7, 8, 14, 28, 56, 107, 214, 428, 749, 856, 1498, 2996, 5992
The HCF of 2780,5992 is 4.
Lets's calculate GCF of 2780,5992
| 2 | 2780, 5992 |
| 2 | 1390, 2996 |
| 695, 1498 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2780,5992 By Matching Biggest Common Factor Method
Now, list down the factors of 2780
:1,2,4,5,10,20,139,278,556,695,1390,2780
Now, list down the factors of 5992
:1,2,4,7,8,14,28,56,107,214,428,749,856,1498,2996,5992
Greatest Common Factor
We found the factors 2780,5992 . The biggest common factor number is the GCF number.
So the greatest common factor 2780,5992 is 4.
Lets's calculate LCM of 423,4716
| 3 | 423, 4716 |
| 3 | 141, 1572 |
| 47, 524 |
∴ So the LCM of the given numbers is 3 x 3 x 47 x 524 = 221652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/221652
Therefore, the GCF of Fractions 2780/423,5992/4716 is 4/221652
Least Common Multiple of 423,4716 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 423,4716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,4716) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(423,4716) x common factors =9 x 1 = 9
LCM(423,4716) = ( 423 × 4716 ) / 9
LCM(423,4716) = 1994868 / 9
LCM(423,4716) = 221652
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2780/423, 5992/4716
1. What is the HCF of 2780,5992?
The HCF of 2780,5992 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 2780/423, 5992/4716?
Answer: GCF of Numerators as per given numbers 2780/423, 5992/4716 is
GCF of Numerators i.e. for 2780,5992 is 4
LCM of denominators i.e. for 423,4716 is 221652.
Thus, GCF of Fractions is 4/221652.Finally, GCF of Fractions for 2780/423, 5992/4716 is 4/221652.