Use our free GCF of Fractions Calculator tool to compute the GCF of 98/20, 225/21, 782/131 i.e 1/55020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 98/20, 225/21, 782/131.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 98/20,225/21,782/131
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 98/20,225/21,782/131, numerators are 98,225,782
Denominators are 20,21,131
The GCF of 98,225,782 is 1 .
LCM of 20,21,131 is 55020.
The greatest common factor of 98/20,225/21,782/131 = [GCF of 98,225,782]/[LCM of 20,21,131]= 1/55020
Therefore, the GCF of 98/20,225/21,782/131 is 1/55020.
To find the highest common factor of 98,225,782, we have to find the factors of both numbers and list the highest common factor.
The factors of 98 are 1, 2, 7, 14, 49, 98
The factors of 225 are 1, 3, 5, 9, 15, 25, 45, 75, 225
The factors of 782 are 1, 2, 17, 23, 34, 46, 391, 782
The HCF of 98,225,782 is 1.
Lets's calculate GCF of 98,225,782
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 98
:1,2,7,14,49,98
Now, list down the factors of 225
:1,3,5,9,15,25,45,75,225
Now, list down the factors of 782
:1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 98,225,782 . The biggest common factor number is the GCF number.
So the greatest common factor 98,225,782 is 1.
Lets's calculate LCM of 20,21,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 55020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55020
Therefore, the GCF of Fractions 98/20,225/21,782/131 is 1/55020
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 20,21,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,21,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(20,21,131) x common factors =1 x 1 = 1
LCM(20,21,131) = ( 20 × 21 × 131 ) / 1
LCM(20,21,131) = 55020 / 1
LCM(20,21,131) = 55020
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 98,225,782?
The HCF of 98,225,782 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 98/20, 225/21, 782/131?
Answer: GCF of Numerators as per given numbers 98/20, 225/21, 782/131 is
GCF of Numerators i.e. for 98,225,782 is 1
LCM of denominators i.e. for 20,21,131 is 55020.
Thus, GCF of Fractions is 1/55020.Finally, GCF of Fractions for 98/20, 225/21, 782/131 is 1/55020.