GCF of 8835/275, 9196/1883
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8835/275, 9196/1883 i.e 19/517825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8835/275, 9196/1883.
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 8835/275,9196/1883?
Given fractions are 8835/275,9196/1883
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 8835/275,9196/1883, numerators are 8835,9196
Denominators are 275,1883
The GCF of 8835,9196 is 19 .
LCM of 275,1883 is 517825.
The greatest common factor of 8835/275,9196/1883 = [GCF of 8835,9196]/[LCM of 275,1883]= 19/517825
Therefore, the GCF of 8835/275,9196/1883 is 19/517825.
To find the highest common factor of 8835,9196, we have to find the factors of both numbers and list the highest common factor.
The factors of 8835 are 1, 3, 5, 15, 19, 31, 57, 93, 95, 155, 285, 465, 589, 1767, 2945, 8835
The factors of 9196 are 1, 2, 4, 11, 19, 22, 38, 44, 76, 121, 209, 242, 418, 484, 836, 2299, 4598, 9196
The HCF of 8835,9196 is 19.
Lets's calculate GCF of 8835,9196
| 19 | 8835, 9196 |
| 465, 484 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 8835,9196 By Matching Biggest Common Factor Method
Now, list down the factors of 8835
:1,3,5,15,19,31,57,93,95,155,285,465,589,1767,2945,8835
Now, list down the factors of 9196
:1,2,4,11,19,22,38,44,76,121,209,242,418,484,836,2299,4598,9196
Greatest Common Factor
We found the factors 8835,9196 . The biggest common factor number is the GCF number.
So the greatest common factor 8835,9196 is 19.
Lets's calculate LCM of 275,1883
Given numbers has no common factors except 1. So, there LCM is their product i.e 517825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/517825
Therefore, the GCF of Fractions 8835/275,9196/1883 is 19/517825
Least Common Multiple of 275,1883 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 275,1883 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(275,1883) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(275,1883) x common factors =1 x 1 = 1
LCM(275,1883) = ( 275 × 1883 ) / 1
LCM(275,1883) = 517825 / 1
LCM(275,1883) = 517825
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FAQs on GCF of Fractions of 8835/275, 9196/1883
1. What is the HCF of 8835,9196?
The HCF of 8835,9196 is 19
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 8835/275, 9196/1883?
Answer: GCF of Numerators as per given numbers 8835/275, 9196/1883 is
GCF of Numerators i.e. for 8835,9196 is 19
LCM of denominators i.e. for 275,1883 is 517825.
Thus, GCF of Fractions is 19/517825.Finally, GCF of Fractions for 8835/275, 9196/1883 is 19/517825.