GCF of 4167/289, 2360/5914
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4167/289, 2360/5914 i.e 1/1709146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4167/289, 2360/5914.
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 4167/289,2360/5914?
Given fractions are 4167/289,2360/5914
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 4167/289,2360/5914, numerators are 4167,2360
Denominators are 289,5914
The GCF of 4167,2360 is 1 .
LCM of 289,5914 is 1709146.
The greatest common factor of 4167/289,2360/5914 = [GCF of 4167,2360]/[LCM of 289,5914]= 1/1709146
Therefore, the GCF of 4167/289,2360/5914 is 1/1709146.
To find the highest common factor of 4167,2360, we have to find the factors of both numbers and list the highest common factor.
The factors of 4167 are 1, 3, 9, 463, 1389, 4167
The factors of 2360 are 1, 2, 4, 5, 8, 10, 20, 40, 59, 118, 236, 295, 472, 590, 1180, 2360
The HCF of 4167,2360 is 1.
Lets's calculate GCF of 4167,2360
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4167,2360 By Matching Biggest Common Factor Method
Now, list down the factors of 4167
:1,3,9,463,1389,4167
Now, list down the factors of 2360
:1,2,4,5,8,10,20,40,59,118,236,295,472,590,1180,2360
Greatest Common Factor
We found the factors 4167,2360 . The biggest common factor number is the GCF number.
So the greatest common factor 4167,2360 is 1.
Lets's calculate LCM of 289,5914
Given numbers has no common factors except 1. So, there LCM is their product i.e 1709146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1709146
Therefore, the GCF of Fractions 4167/289,2360/5914 is 1/1709146
Least Common Multiple of 289,5914 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 289,5914 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,5914) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(289,5914) x common factors =1 x 1 = 1
LCM(289,5914) = ( 289 × 5914 ) / 1
LCM(289,5914) = 1709146 / 1
LCM(289,5914) = 1709146
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FAQs on GCF of Fractions of 4167/289, 2360/5914
1. What is the HCF of 4167,2360?
The HCF of 4167,2360 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 4167/289, 2360/5914?
Answer: GCF of Numerators as per given numbers 4167/289, 2360/5914 is
GCF of Numerators i.e. for 4167,2360 is 1
LCM of denominators i.e. for 289,5914 is 1709146.
Thus, GCF of Fractions is 1/1709146.Finally, GCF of Fractions for 4167/289, 2360/5914 is 1/1709146.