GCF of 8732/661, 4083/2400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8732/661, 4083/2400 i.e 1/1586400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8732/661, 4083/2400.
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 8732/661,4083/2400?
Given fractions are 8732/661,4083/2400
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 8732/661,4083/2400, numerators are 8732,4083
Denominators are 661,2400
The GCF of 8732,4083 is 1 .
LCM of 661,2400 is 1586400.
The greatest common factor of 8732/661,4083/2400 = [GCF of 8732,4083]/[LCM of 661,2400]= 1/1586400
Therefore, the GCF of 8732/661,4083/2400 is 1/1586400.
To find the highest common factor of 8732,4083, we have to find the factors of both numbers and list the highest common factor.
The factors of 8732 are 1, 2, 4, 37, 59, 74, 118, 148, 236, 2183, 4366, 8732
The factors of 4083 are 1, 3, 1361, 4083
The HCF of 8732,4083 is 1.
Lets's calculate GCF of 8732,4083
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8732,4083 By Matching Biggest Common Factor Method
Now, list down the factors of 8732
:1,2,4,37,59,74,118,148,236,2183,4366,8732
Now, list down the factors of 4083
:1,3,1361,4083
Greatest Common Factor
We found the factors 8732,4083 . The biggest common factor number is the GCF number.
So the greatest common factor 8732,4083 is 1.
Lets's calculate LCM of 661,2400
Given numbers has no common factors except 1. So, there LCM is their product i.e 1586400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1586400
Therefore, the GCF of Fractions 8732/661,4083/2400 is 1/1586400
Least Common Multiple of 661,2400 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 661,2400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,2400) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,2400) x common factors =1 x 1 = 1
LCM(661,2400) = ( 661 × 2400 ) / 1
LCM(661,2400) = 1586400 / 1
LCM(661,2400) = 1586400
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8732/661, 4083/2400
1. What is the HCF of 8732,4083?
The HCF of 8732,4083 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 8732/661, 4083/2400?
Answer: GCF of Numerators as per given numbers 8732/661, 4083/2400 is
GCF of Numerators i.e. for 8732,4083 is 1
LCM of denominators i.e. for 661,2400 is 1586400.
Thus, GCF of Fractions is 1/1586400.Finally, GCF of Fractions for 8732/661, 4083/2400 is 1/1586400.