GCF of 431/115, 144/977
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 431/115, 144/977 i.e 1/112355 easily. The following is the detailed procedure to determine the greatest common factor of fractions 431/115, 144/977.
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 431/115,144/977?
Given fractions are 431/115,144/977
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 431/115,144/977, numerators are 431,144
Denominators are 115,977
The GCF of 431,144 is 1 .
LCM of 115,977 is 112355.
The greatest common factor of 431/115,144/977 = [GCF of 431,144]/[LCM of 115,977]= 1/112355
Therefore, the GCF of 431/115,144/977 is 1/112355.
To find the highest common factor of 431,144, we have to find the factors of both numbers and list the highest common factor.
The factors of 431 are 1, 431
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The HCF of 431,144 is 1.
Lets's calculate GCF of 431,144
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 431,144 By Matching Biggest Common Factor Method
Now, list down the factors of 431
:1,431
Now, list down the factors of 144
:1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 431,144 . The biggest common factor number is the GCF number.
So the greatest common factor 431,144 is 1.
Lets's calculate LCM of 115,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 112355
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/112355
Therefore, the GCF of Fractions 431/115,144/977 is 1/112355
Least Common Multiple of 115,977 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 115,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,977) x common factors =1 x 1 = 1
LCM(115,977) = ( 115 × 977 ) / 1
LCM(115,977) = 112355 / 1
LCM(115,977) = 112355
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 431/115, 144/977
1. What is the HCF of 431,144?
The HCF of 431,144 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 431/115, 144/977?
Answer: GCF of Numerators as per given numbers 431/115, 144/977 is
GCF of Numerators i.e. for 431,144 is 1
LCM of denominators i.e. for 115,977 is 112355.
Thus, GCF of Fractions is 1/112355.Finally, GCF of Fractions for 431/115, 144/977 is 1/112355.