GCF of 39/373, 4766/5431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/373, 4766/5431 i.e 1/2025763 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/373, 4766/5431.
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 39/373,4766/5431?
Given fractions are 39/373,4766/5431
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 39/373,4766/5431, numerators are 39,4766
Denominators are 373,5431
The GCF of 39,4766 is 1 .
LCM of 373,5431 is 2025763.
The greatest common factor of 39/373,4766/5431 = [GCF of 39,4766]/[LCM of 373,5431]= 1/2025763
Therefore, the GCF of 39/373,4766/5431 is 1/2025763.
To find the highest common factor of 39,4766, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 4766 are 1, 2, 2383, 4766
The HCF of 39,4766 is 1.
Lets's calculate GCF of 39,4766
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,4766 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 4766
:1,2,2383,4766
Greatest Common Factor
We found the factors 39,4766 . The biggest common factor number is the GCF number.
So the greatest common factor 39,4766 is 1.
Lets's calculate LCM of 373,5431
Given numbers has no common factors except 1. So, there LCM is their product i.e 2025763
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2025763
Therefore, the GCF of Fractions 39/373,4766/5431 is 1/2025763
Least Common Multiple of 373,5431 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 373,5431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(373,5431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(373,5431) x common factors =1 x 1 = 1
LCM(373,5431) = ( 373 × 5431 ) / 1
LCM(373,5431) = 2025763 / 1
LCM(373,5431) = 2025763
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 39/373, 4766/5431
1. What is the HCF of 39,4766?
The HCF of 39,4766 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 39/373, 4766/5431?
Answer: GCF of Numerators as per given numbers 39/373, 4766/5431 is
GCF of Numerators i.e. for 39,4766 is 1
LCM of denominators i.e. for 373,5431 is 2025763.
Thus, GCF of Fractions is 1/2025763.Finally, GCF of Fractions for 39/373, 4766/5431 is 1/2025763.