GCF of 4466/599, 9861/7197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4466/599, 9861/7197 i.e 1/4311003 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4466/599, 9861/7197.
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 4466/599,9861/7197?
Given fractions are 4466/599,9861/7197
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 4466/599,9861/7197, numerators are 4466,9861
Denominators are 599,7197
The GCF of 4466,9861 is 1 .
LCM of 599,7197 is 4311003.
The greatest common factor of 4466/599,9861/7197 = [GCF of 4466,9861]/[LCM of 599,7197]= 1/4311003
Therefore, the GCF of 4466/599,9861/7197 is 1/4311003.
To find the highest common factor of 4466,9861, we have to find the factors of both numbers and list the highest common factor.
The factors of 4466 are 1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466
The factors of 9861 are 1, 3, 19, 57, 173, 519, 3287, 9861
The HCF of 4466,9861 is 1.
Lets's calculate GCF of 4466,9861
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4466,9861 By Matching Biggest Common Factor Method
Now, list down the factors of 4466
:1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466
Now, list down the factors of 9861
:1,3,19,57,173,519,3287,9861
Greatest Common Factor
We found the factors 4466,9861 . The biggest common factor number is the GCF number.
So the greatest common factor 4466,9861 is 1.
Lets's calculate LCM of 599,7197
Given numbers has no common factors except 1. So, there LCM is their product i.e 4311003
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4311003
Therefore, the GCF of Fractions 4466/599,9861/7197 is 1/4311003
Least Common Multiple of 599,7197 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 599,7197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,7197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,7197) x common factors =1 x 1 = 1
LCM(599,7197) = ( 599 × 7197 ) / 1
LCM(599,7197) = 4311003 / 1
LCM(599,7197) = 4311003
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4466/599, 9861/7197
1. What is the HCF of 4466,9861?
The HCF of 4466,9861 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 4466/599, 9861/7197?
Answer: GCF of Numerators as per given numbers 4466/599, 9861/7197 is
GCF of Numerators i.e. for 4466,9861 is 1
LCM of denominators i.e. for 599,7197 is 4311003.
Thus, GCF of Fractions is 1/4311003.Finally, GCF of Fractions for 4466/599, 9861/7197 is 1/4311003.