GCF of 9227/428, 4420/9518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9227/428, 4420/9518 i.e 1/2036852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9227/428, 4420/9518.
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 9227/428,4420/9518?
Given fractions are 9227/428,4420/9518
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 9227/428,4420/9518, numerators are 9227,4420
Denominators are 428,9518
The GCF of 9227,4420 is 1 .
LCM of 428,9518 is 2036852.
The greatest common factor of 9227/428,4420/9518 = [GCF of 9227,4420]/[LCM of 428,9518]= 1/2036852
Therefore, the GCF of 9227/428,4420/9518 is 1/2036852.
To find the highest common factor of 9227,4420, we have to find the factors of both numbers and list the highest common factor.
The factors of 9227 are 1, 9227
The factors of 4420 are 1, 2, 4, 5, 10, 13, 17, 20, 26, 34, 52, 65, 68, 85, 130, 170, 221, 260, 340, 442, 884, 1105, 2210, 4420
The HCF of 9227,4420 is 1.
Lets's calculate GCF of 9227,4420
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9227,4420 By Matching Biggest Common Factor Method
Now, list down the factors of 9227
:1,9227
Now, list down the factors of 4420
:1,2,4,5,10,13,17,20,26,34,52,65,68,85,130,170,221,260,340,442,884,1105,2210,4420
Greatest Common Factor
We found the factors 9227,4420 . The biggest common factor number is the GCF number.
So the greatest common factor 9227,4420 is 1.
Lets's calculate LCM of 428,9518
| 2 | 428, 9518 |
| 214, 4759 |
∴ So the LCM of the given numbers is 2 x 214 x 4759 = 2036852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2036852
Therefore, the GCF of Fractions 9227/428,4420/9518 is 1/2036852
Least Common Multiple of 428,9518 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 428,9518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(428,9518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(428,9518) x common factors =2 x 1 = 2
LCM(428,9518) = ( 428 × 9518 ) / 2
LCM(428,9518) = 4073704 / 2
LCM(428,9518) = 2036852
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FAQs on GCF of Fractions of 9227/428, 4420/9518
1. What is the HCF of 9227,4420?
The HCF of 9227,4420 is 1
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 9227/428, 4420/9518?
Answer: GCF of Numerators as per given numbers 9227/428, 4420/9518 is
GCF of Numerators i.e. for 9227,4420 is 1
LCM of denominators i.e. for 428,9518 is 2036852.
Thus, GCF of Fractions is 1/2036852.Finally, GCF of Fractions for 9227/428, 4420/9518 is 1/2036852.