GCF of 9225/736, 4917/7022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9225/736, 4917/7022 i.e 3/2584096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9225/736, 4917/7022.
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 9225/736,4917/7022?
Given fractions are 9225/736,4917/7022
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 9225/736,4917/7022, numerators are 9225,4917
Denominators are 736,7022
The GCF of 9225,4917 is 3 .
LCM of 736,7022 is 2584096.
The greatest common factor of 9225/736,4917/7022 = [GCF of 9225,4917]/[LCM of 736,7022]= 3/2584096
Therefore, the GCF of 9225/736,4917/7022 is 3/2584096.
To find the highest common factor of 9225,4917, we have to find the factors of both numbers and list the highest common factor.
The factors of 9225 are 1, 3, 5, 9, 15, 25, 41, 45, 75, 123, 205, 225, 369, 615, 1025, 1845, 3075, 9225
The factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917
The HCF of 9225,4917 is 3.
Lets's calculate GCF of 9225,4917
| 3 | 9225, 4917 |
| 3075, 1639 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9225,4917 By Matching Biggest Common Factor Method
Now, list down the factors of 9225
:1,3,5,9,15,25,41,45,75,123,205,225,369,615,1025,1845,3075,9225
Now, list down the factors of 4917
:1,3,11,33,149,447,1639,4917
Greatest Common Factor
We found the factors 9225,4917 . The biggest common factor number is the GCF number.
So the greatest common factor 9225,4917 is 3.
Lets's calculate LCM of 736,7022
| 2 | 736, 7022 |
| 368, 3511 |
∴ So the LCM of the given numbers is 2 x 368 x 3511 = 2584096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2584096
Therefore, the GCF of Fractions 9225/736,4917/7022 is 3/2584096
Least Common Multiple of 736,7022 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 736,7022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,7022) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(736,7022) x common factors =2 x 1 = 2
LCM(736,7022) = ( 736 × 7022 ) / 2
LCM(736,7022) = 5168192 / 2
LCM(736,7022) = 2584096
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FAQs on GCF of Fractions of 9225/736, 4917/7022
1. What is the HCF of 9225,4917?
The HCF of 9225,4917 is 3
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 9225/736, 4917/7022?
Answer: GCF of Numerators as per given numbers 9225/736, 4917/7022 is
GCF of Numerators i.e. for 9225,4917 is 3
LCM of denominators i.e. for 736,7022 is 2584096.
Thus, GCF of Fractions is 3/2584096.Finally, GCF of Fractions for 9225/736, 4917/7022 is 3/2584096.