GCF of 4761/967, 3427/3704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4761/967, 3427/3704 i.e 23/3581768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4761/967, 3427/3704.
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 4761/967,3427/3704?
Given fractions are 4761/967,3427/3704
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 4761/967,3427/3704, numerators are 4761,3427
Denominators are 967,3704
The GCF of 4761,3427 is 23 .
LCM of 967,3704 is 3581768.
The greatest common factor of 4761/967,3427/3704 = [GCF of 4761,3427]/[LCM of 967,3704]= 23/3581768
Therefore, the GCF of 4761/967,3427/3704 is 23/3581768.
To find the highest common factor of 4761,3427, we have to find the factors of both numbers and list the highest common factor.
The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761
The factors of 3427 are 1, 23, 149, 3427
The HCF of 4761,3427 is 23.
Lets's calculate GCF of 4761,3427
| 23 | 4761, 3427 |
| 207, 149 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4761,3427 By Matching Biggest Common Factor Method
Now, list down the factors of 4761
:1,3,9,23,69,207,529,1587,4761
Now, list down the factors of 3427
:1,23,149,3427
Greatest Common Factor
We found the factors 4761,3427 . The biggest common factor number is the GCF number.
So the greatest common factor 4761,3427 is 23.
Lets's calculate LCM of 967,3704
Given numbers has no common factors except 1. So, there LCM is their product i.e 3581768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/3581768
Therefore, the GCF of Fractions 4761/967,3427/3704 is 23/3581768
Least Common Multiple of 967,3704 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 967,3704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(967,3704) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(967,3704) x common factors =1 x 1 = 1
LCM(967,3704) = ( 967 × 3704 ) / 1
LCM(967,3704) = 3581768 / 1
LCM(967,3704) = 3581768
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4761/967, 3427/3704
1. What is the HCF of 4761,3427?
The HCF of 4761,3427 is 23
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 4761/967, 3427/3704?
Answer: GCF of Numerators as per given numbers 4761/967, 3427/3704 is
GCF of Numerators i.e. for 4761,3427 is 23
LCM of denominators i.e. for 967,3704 is 3581768.
Thus, GCF of Fractions is 23/3581768.Finally, GCF of Fractions for 4761/967, 3427/3704 is 23/3581768.