Use our free GCF of Fractions Calculator tool to compute the GCF of 62/25, 575/20, 296/427 i.e 1/42700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 62/25, 575/20, 296/427.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/25,575/20,296/427
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 62/25,575/20,296/427, numerators are 62,575,296
Denominators are 25,20,427
The GCF of 62,575,296 is 1 .
LCM of 25,20,427 is 42700.
The greatest common factor of 62/25,575/20,296/427 = [GCF of 62,575,296]/[LCM of 25,20,427]= 1/42700
Therefore, the GCF of 62/25,575/20,296/427 is 1/42700.
To find the highest common factor of 62,575,296, we have to find the factors of both numbers and list the highest common factor.
The factors of 62 are 1, 2, 31, 62
The factors of 575 are 1, 5, 23, 25, 115, 575
The factors of 296 are 1, 2, 4, 8, 37, 74, 148, 296
The HCF of 62,575,296 is 1.
Lets's calculate GCF of 62,575,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 62
:1,2,31,62
Now, list down the factors of 575
:1,5,23,25,115,575
Now, list down the factors of 296
:1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 62,575,296 . The biggest common factor number is the GCF number.
So the greatest common factor 62,575,296 is 1.
Lets's calculate LCM of 25,20,427
5 | 25, 20, 427 |
5, 4, 427 |
∴ So the LCM of the given numbers is 5 x 5 x 4 x 427 = 42700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42700
Therefore, the GCF of Fractions 62/25,575/20,296/427 is 1/42700
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 25,20,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,20,427) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,20,427) x common factors =1 x 5 = 5
LCM(25,20,427) = ( 25 × 20 × 427 ) / 5
LCM(25,20,427) = 213500 / 5
LCM(25,20,427) = 42700
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 62,575,296?
The HCF of 62,575,296 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 62/25, 575/20, 296/427?
Answer: GCF of Numerators as per given numbers 62/25, 575/20, 296/427 is
GCF of Numerators i.e. for 62,575,296 is 1
LCM of denominators i.e. for 25,20,427 is 42700.
Thus, GCF of Fractions is 1/42700.Finally, GCF of Fractions for 62/25, 575/20, 296/427 is 1/42700.