GCF of 713/111, 431/222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 713/111, 431/222 i.e 1/222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 713/111, 431/222.
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 713/111,431/222?
Given fractions are 713/111,431/222
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 713/111,431/222, numerators are 713,431
Denominators are 111,222
The GCF of 713,431 is 1 .
LCM of 111,222 is 222.
The greatest common factor of 713/111,431/222 = [GCF of 713,431]/[LCM of 111,222]= 1/222
Therefore, the GCF of 713/111,431/222 is 1/222.
To find the highest common factor of 713,431, we have to find the factors of both numbers and list the highest common factor.
The factors of 713 are 1, 23, 31, 713
The factors of 431 are 1, 431
The HCF of 713,431 is 1.
Lets's calculate GCF of 713,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 713,431 By Matching Biggest Common Factor Method
Now, list down the factors of 713
:1,23,31,713
Now, list down the factors of 431
:1,431
Greatest Common Factor
We found the factors 713,431 . The biggest common factor number is the GCF number.
So the greatest common factor 713,431 is 1.
Lets's calculate LCM of 111,222
| 3 | 111, 222 |
| 37 | 37, 74 |
| 1, 2 |
∴ So the LCM of the given numbers is 3 x 37 x 1 x 2 = 222
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222
Therefore, the GCF of Fractions 713/111,431/222 is 1/222
Least Common Multiple of 111,222 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 111,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(111,222) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(111,222) x common factors =111 x 1 = 111
LCM(111,222) = ( 111 × 222 ) / 111
LCM(111,222) = 24642 / 111
LCM(111,222) = 222
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 713/111, 431/222
1. What is the HCF of 713,431?
The HCF of 713,431 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 713/111, 431/222?
Answer: GCF of Numerators as per given numbers 713/111, 431/222 is
GCF of Numerators i.e. for 713,431 is 1
LCM of denominators i.e. for 111,222 is 222.
Thus, GCF of Fractions is 1/222.Finally, GCF of Fractions for 713/111, 431/222 is 1/222.