GCF of 5660/264, 5920/1902
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5660/264, 5920/1902 i.e 20/83688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5660/264, 5920/1902.
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 5660/264,5920/1902?
Given fractions are 5660/264,5920/1902
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 5660/264,5920/1902, numerators are 5660,5920
Denominators are 264,1902
The GCF of 5660,5920 is 20 .
LCM of 264,1902 is 83688.
The greatest common factor of 5660/264,5920/1902 = [GCF of 5660,5920]/[LCM of 264,1902]= 20/83688
Therefore, the GCF of 5660/264,5920/1902 is 20/83688.
To find the highest common factor of 5660,5920, we have to find the factors of both numbers and list the highest common factor.
The factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660
The factors of 5920 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 74, 80, 148, 160, 185, 296, 370, 592, 740, 1184, 1480, 2960, 5920
The HCF of 5660,5920 is 20.
Lets's calculate GCF of 5660,5920
| 2 | 5660, 5920 |
| 2 | 2830, 2960 |
| 5 | 1415, 1480 |
| 283, 296 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5660,5920 By Matching Biggest Common Factor Method
Now, list down the factors of 5660
:1,2,4,5,10,20,283,566,1132,1415,2830,5660
Now, list down the factors of 5920
:1,2,4,5,8,10,16,20,32,37,40,74,80,148,160,185,296,370,592,740,1184,1480,2960,5920
Greatest Common Factor
We found the factors 5660,5920 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,5920 is 20.
Lets's calculate LCM of 264,1902
| 2 | 264, 1902 |
| 3 | 132, 951 |
| 44, 317 |
∴ So the LCM of the given numbers is 2 x 3 x 44 x 317 = 83688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/83688
Therefore, the GCF of Fractions 5660/264,5920/1902 is 20/83688
Least Common Multiple of 264,1902 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 264,1902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,1902) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(264,1902) x common factors =6 x 1 = 6
LCM(264,1902) = ( 264 × 1902 ) / 6
LCM(264,1902) = 502128 / 6
LCM(264,1902) = 83688
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5660/264, 5920/1902
1. What is the HCF of 5660,5920?
The HCF of 5660,5920 is 20
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 5660/264, 5920/1902?
Answer: GCF of Numerators as per given numbers 5660/264, 5920/1902 is
GCF of Numerators i.e. for 5660,5920 is 20
LCM of denominators i.e. for 264,1902 is 83688.
Thus, GCF of Fractions is 20/83688.Finally, GCF of Fractions for 5660/264, 5920/1902 is 20/83688.