GCF of 3059/583, 9215/4104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3059/583, 9215/4104 i.e 19/2392632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3059/583, 9215/4104.
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 3059/583,9215/4104?
Given fractions are 3059/583,9215/4104
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 3059/583,9215/4104, numerators are 3059,9215
Denominators are 583,4104
The GCF of 3059,9215 is 19 .
LCM of 583,4104 is 2392632.
The greatest common factor of 3059/583,9215/4104 = [GCF of 3059,9215]/[LCM of 583,4104]= 19/2392632
Therefore, the GCF of 3059/583,9215/4104 is 19/2392632.
To find the highest common factor of 3059,9215, we have to find the factors of both numbers and list the highest common factor.
The factors of 3059 are 1, 7, 19, 23, 133, 161, 437, 3059
The factors of 9215 are 1, 5, 19, 95, 97, 485, 1843, 9215
The HCF of 3059,9215 is 19.
Lets's calculate GCF of 3059,9215
| 19 | 3059, 9215 |
| 161, 485 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 3059,9215 By Matching Biggest Common Factor Method
Now, list down the factors of 3059
:1,7,19,23,133,161,437,3059
Now, list down the factors of 9215
:1,5,19,95,97,485,1843,9215
Greatest Common Factor
We found the factors 3059,9215 . The biggest common factor number is the GCF number.
So the greatest common factor 3059,9215 is 19.
Lets's calculate LCM of 583,4104
Given numbers has no common factors except 1. So, there LCM is their product i.e 2392632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/2392632
Therefore, the GCF of Fractions 3059/583,9215/4104 is 19/2392632
Least Common Multiple of 583,4104 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 583,4104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(583,4104) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(583,4104) x common factors =1 x 1 = 1
LCM(583,4104) = ( 583 × 4104 ) / 1
LCM(583,4104) = 2392632 / 1
LCM(583,4104) = 2392632
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FAQs on GCF of Fractions of 3059/583, 9215/4104
1. What is the HCF of 3059,9215?
The HCF of 3059,9215 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 3059/583, 9215/4104?
Answer: GCF of Numerators as per given numbers 3059/583, 9215/4104 is
GCF of Numerators i.e. for 3059,9215 is 19
LCM of denominators i.e. for 583,4104 is 2392632.
Thus, GCF of Fractions is 19/2392632.Finally, GCF of Fractions for 3059/583, 9215/4104 is 19/2392632.