GCF of 9105/285, 2260/2334
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9105/285, 2260/2334 i.e 5/221730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9105/285, 2260/2334.
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 9105/285,2260/2334?
Given fractions are 9105/285,2260/2334
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 9105/285,2260/2334, numerators are 9105,2260
Denominators are 285,2334
The GCF of 9105,2260 is 5 .
LCM of 285,2334 is 221730.
The greatest common factor of 9105/285,2260/2334 = [GCF of 9105,2260]/[LCM of 285,2334]= 5/221730
Therefore, the GCF of 9105/285,2260/2334 is 5/221730.
To find the highest common factor of 9105,2260, we have to find the factors of both numbers and list the highest common factor.
The factors of 9105 are 1, 3, 5, 15, 607, 1821, 3035, 9105
The factors of 2260 are 1, 2, 4, 5, 10, 20, 113, 226, 452, 565, 1130, 2260
The HCF of 9105,2260 is 5.
Lets's calculate GCF of 9105,2260
| 5 | 9105, 2260 |
| 1821, 452 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9105,2260 By Matching Biggest Common Factor Method
Now, list down the factors of 9105
:1,3,5,15,607,1821,3035,9105
Now, list down the factors of 2260
:1,2,4,5,10,20,113,226,452,565,1130,2260
Greatest Common Factor
We found the factors 9105,2260 . The biggest common factor number is the GCF number.
So the greatest common factor 9105,2260 is 5.
Lets's calculate LCM of 285,2334
| 3 | 285, 2334 |
| 95, 778 |
∴ So the LCM of the given numbers is 3 x 95 x 778 = 221730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/221730
Therefore, the GCF of Fractions 9105/285,2260/2334 is 5/221730
Least Common Multiple of 285,2334 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 285,2334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,2334) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(285,2334) x common factors =3 x 1 = 3
LCM(285,2334) = ( 285 × 2334 ) / 3
LCM(285,2334) = 665190 / 3
LCM(285,2334) = 221730
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FAQs on GCF of Fractions of 9105/285, 2260/2334
1. What is the HCF of 9105,2260?
The HCF of 9105,2260 is 5
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 9105/285, 2260/2334?
Answer: GCF of Numerators as per given numbers 9105/285, 2260/2334 is
GCF of Numerators i.e. for 9105,2260 is 5
LCM of denominators i.e. for 285,2334 is 221730.
Thus, GCF of Fractions is 5/221730.Finally, GCF of Fractions for 9105/285, 2260/2334 is 5/221730.