GCF of 9059/207, 9916/3014
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9059/207, 9916/3014 i.e 1/623898 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9059/207, 9916/3014.
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 9059/207,9916/3014?
Given fractions are 9059/207,9916/3014
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 9059/207,9916/3014, numerators are 9059,9916
Denominators are 207,3014
The GCF of 9059,9916 is 1 .
LCM of 207,3014 is 623898.
The greatest common factor of 9059/207,9916/3014 = [GCF of 9059,9916]/[LCM of 207,3014]= 1/623898
Therefore, the GCF of 9059/207,9916/3014 is 1/623898.
To find the highest common factor of 9059,9916, we have to find the factors of both numbers and list the highest common factor.
The factors of 9059 are 1, 9059
The factors of 9916 are 1, 2, 4, 37, 67, 74, 134, 148, 268, 2479, 4958, 9916
The HCF of 9059,9916 is 1.
Lets's calculate GCF of 9059,9916
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9059,9916 By Matching Biggest Common Factor Method
Now, list down the factors of 9059
:1,9059
Now, list down the factors of 9916
:1,2,4,37,67,74,134,148,268,2479,4958,9916
Greatest Common Factor
We found the factors 9059,9916 . The biggest common factor number is the GCF number.
So the greatest common factor 9059,9916 is 1.
Lets's calculate LCM of 207,3014
Given numbers has no common factors except 1. So, there LCM is their product i.e 623898
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623898
Therefore, the GCF of Fractions 9059/207,9916/3014 is 1/623898
Least Common Multiple of 207,3014 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 207,3014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,3014) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,3014) x common factors =1 x 1 = 1
LCM(207,3014) = ( 207 × 3014 ) / 1
LCM(207,3014) = 623898 / 1
LCM(207,3014) = 623898
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FAQs on GCF of Fractions of 9059/207, 9916/3014
1. What is the HCF of 9059,9916?
The HCF of 9059,9916 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 9059/207, 9916/3014?
Answer: GCF of Numerators as per given numbers 9059/207, 9916/3014 is
GCF of Numerators i.e. for 9059,9916 is 1
LCM of denominators i.e. for 207,3014 is 623898.
Thus, GCF of Fractions is 1/623898.Finally, GCF of Fractions for 9059/207, 9916/3014 is 1/623898.