Use our free GCF of Fractions Calculator tool to compute the GCF of 20/84, 131/97, 430/131 i.e 1/1067388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 20/84, 131/97, 430/131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 20/84,131/97,430/131
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 20/84,131/97,430/131, numerators are 20,131,430
Denominators are 84,97,131
The GCF of 20,131,430 is 1 .
LCM of 84,97,131 is 1067388.
The greatest common factor of 20/84,131/97,430/131 = [GCF of 20,131,430]/[LCM of 84,97,131]= 1/1067388
Therefore, the GCF of 20/84,131/97,430/131 is 1/1067388.
To find the highest common factor of 20,131,430, we have to find the factors of both numbers and list the highest common factor.
The factors of 20 are 1, 2, 4, 5, 10, 20
The factors of 131 are 1, 131
The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430
The HCF of 20,131,430 is 1.
Lets's calculate GCF of 20,131,430
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 20
:1,2,4,5,10,20
Now, list down the factors of 131
:1,131
Now, list down the factors of 430
:1,2,5,10,43,86,215,430
Greatest Common Factor
We found the factors 20,131,430 . The biggest common factor number is the GCF number.
So the greatest common factor 20,131,430 is 1.
Lets's calculate LCM of 84,97,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 1067388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1067388
Therefore, the GCF of Fractions 20/84,131/97,430/131 is 1/1067388
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 84,97,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,97,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(84,97,131) x common factors =1 x 1 = 1
LCM(84,97,131) = ( 84 × 97 × 131 ) / 1
LCM(84,97,131) = 1067388 / 1
LCM(84,97,131) = 1067388
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 20,131,430?
The HCF of 20,131,430 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 20/84, 131/97, 430/131?
Answer: GCF of Numerators as per given numbers 20/84, 131/97, 430/131 is
GCF of Numerators i.e. for 20,131,430 is 1
LCM of denominators i.e. for 84,97,131 is 1067388.
Thus, GCF of Fractions is 1/1067388.Finally, GCF of Fractions for 20/84, 131/97, 430/131 is 1/1067388.