GCF of 5560/827, 9400/5069
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5560/827, 9400/5069 i.e 40/4192063 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5560/827, 9400/5069.
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 5560/827,9400/5069?
Given fractions are 5560/827,9400/5069
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 5560/827,9400/5069, numerators are 5560,9400
Denominators are 827,5069
The GCF of 5560,9400 is 40 .
LCM of 827,5069 is 4192063.
The greatest common factor of 5560/827,9400/5069 = [GCF of 5560,9400]/[LCM of 827,5069]= 40/4192063
Therefore, the GCF of 5560/827,9400/5069 is 40/4192063.
To find the highest common factor of 5560,9400, 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 9400 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 47, 50, 94, 100, 188, 200, 235, 376, 470, 940, 1175, 1880, 2350, 4700, 9400
The HCF of 5560,9400 is 40.
Lets's calculate GCF of 5560,9400
| 2 | 5560, 9400 |
| 2 | 2780, 4700 |
| 2 | 1390, 2350 |
| 5 | 695, 1175 |
| 139, 235 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Greatest Common Factor of 5560,9400 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 9400
:1,2,4,5,8,10,20,25,40,47,50,94,100,188,200,235,376,470,940,1175,1880,2350,4700,9400
Greatest Common Factor
We found the factors 5560,9400 . The biggest common factor number is the GCF number.
So the greatest common factor 5560,9400 is 40.
Lets's calculate LCM of 827,5069
Given numbers has no common factors except 1. So, there LCM is their product i.e 4192063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/4192063
Therefore, the GCF of Fractions 5560/827,9400/5069 is 40/4192063
Least Common Multiple of 827,5069 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 827,5069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,5069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,5069) x common factors =1 x 1 = 1
LCM(827,5069) = ( 827 × 5069 ) / 1
LCM(827,5069) = 4192063 / 1
LCM(827,5069) = 4192063
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5560/827, 9400/5069
1. What is the HCF of 5560,9400?
The HCF of 5560,9400 is 40
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 5560/827, 9400/5069?
Answer: GCF of Numerators as per given numbers 5560/827, 9400/5069 is
GCF of Numerators i.e. for 5560,9400 is 40
LCM of denominators i.e. for 827,5069 is 4192063.
Thus, GCF of Fractions is 40/4192063.Finally, GCF of Fractions for 5560/827, 9400/5069 is 40/4192063.