GCF of 9436/390, 8094/5622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9436/390, 8094/5622 i.e 2/365430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9436/390, 8094/5622.
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 9436/390,8094/5622?
Given fractions are 9436/390,8094/5622
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 9436/390,8094/5622, numerators are 9436,8094
Denominators are 390,5622
The GCF of 9436,8094 is 2 .
LCM of 390,5622 is 365430.
The greatest common factor of 9436/390,8094/5622 = [GCF of 9436,8094]/[LCM of 390,5622]= 2/365430
Therefore, the GCF of 9436/390,8094/5622 is 2/365430.
To find the highest common factor of 9436,8094, we have to find the factors of both numbers and list the highest common factor.
The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436
The factors of 8094 are 1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047, 8094
The HCF of 9436,8094 is 2.
Lets's calculate GCF of 9436,8094
| 2 | 9436, 8094 |
| 4718, 4047 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9436,8094 By Matching Biggest Common Factor Method
Now, list down the factors of 9436
:1,2,4,7,14,28,337,674,1348,2359,4718,9436
Now, list down the factors of 8094
:1,2,3,6,19,38,57,71,114,142,213,426,1349,2698,4047,8094
Greatest Common Factor
We found the factors 9436,8094 . The biggest common factor number is the GCF number.
So the greatest common factor 9436,8094 is 2.
Lets's calculate LCM of 390,5622
| 2 | 390, 5622 |
| 3 | 195, 2811 |
| 65, 937 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 937 = 365430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/365430
Therefore, the GCF of Fractions 9436/390,8094/5622 is 2/365430
Least Common Multiple of 390,5622 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 390,5622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,5622) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,5622) x common factors =6 x 1 = 6
LCM(390,5622) = ( 390 × 5622 ) / 6
LCM(390,5622) = 2192580 / 6
LCM(390,5622) = 365430
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FAQs on GCF of Fractions of 9436/390, 8094/5622
1. What is the HCF of 9436,8094?
The HCF of 9436,8094 is 2
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 9436/390, 8094/5622?
Answer: GCF of Numerators as per given numbers 9436/390, 8094/5622 is
GCF of Numerators i.e. for 9436,8094 is 2
LCM of denominators i.e. for 390,5622 is 365430.
Thus, GCF of Fractions is 2/365430.Finally, GCF of Fractions for 9436/390, 8094/5622 is 2/365430.