GCF of 5560/282, 8864/2922
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5560/282, 8864/2922 i.e 8/137334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5560/282, 8864/2922.
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 5560/282,8864/2922?
Given fractions are 5560/282,8864/2922
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 5560/282,8864/2922, numerators are 5560,8864
Denominators are 282,2922
The GCF of 5560,8864 is 8 .
LCM of 282,2922 is 137334.
The greatest common factor of 5560/282,8864/2922 = [GCF of 5560,8864]/[LCM of 282,2922]= 8/137334
Therefore, the GCF of 5560/282,8864/2922 is 8/137334.
To find the highest common factor of 5560,8864, we have to find the factors of both numbers and list the highest common factor.
The factors of 5560 are 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560
The factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864
The HCF of 5560,8864 is 8.
Lets's calculate GCF of 5560,8864
| 2 | 5560, 8864 |
| 2 | 2780, 4432 |
| 2 | 1390, 2216 |
| 695, 1108 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 5560,8864 By Matching Biggest Common Factor Method
Now, list down the factors of 5560
:1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560
Now, list down the factors of 8864
:1,2,4,8,16,32,277,554,1108,2216,4432,8864
Greatest Common Factor
We found the factors 5560,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 5560,8864 is 8.
Lets's calculate LCM of 282,2922
| 2 | 282, 2922 |
| 3 | 141, 1461 |
| 47, 487 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 487 = 137334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/137334
Therefore, the GCF of Fractions 5560/282,8864/2922 is 8/137334
Least Common Multiple of 282,2922 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 282,2922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,2922) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(282,2922) x common factors =6 x 1 = 6
LCM(282,2922) = ( 282 × 2922 ) / 6
LCM(282,2922) = 824004 / 6
LCM(282,2922) = 137334
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FAQs on GCF of Fractions of 5560/282, 8864/2922
1. What is the HCF of 5560,8864?
The HCF of 5560,8864 is 8
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 5560/282, 8864/2922?
Answer: GCF of Numerators as per given numbers 5560/282, 8864/2922 is
GCF of Numerators i.e. for 5560,8864 is 8
LCM of denominators i.e. for 282,2922 is 137334.
Thus, GCF of Fractions is 8/137334.Finally, GCF of Fractions for 5560/282, 8864/2922 is 8/137334.