Use our free GCF of Fractions Calculator tool to compute the GCF of 632/250, 399/625 i.e 1/1250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 632/250, 399/625.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 632/250,399/625
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 632/250,399/625, numerators are 632,399
Denominators are 250,625
The GCF of 632,399 is 1 .
LCM of 250,625 is 1250.
The greatest common factor of 632/250,399/625 = [GCF of 632,399]/[LCM of 250,625]= 1/1250
Therefore, the GCF of 632/250,399/625 is 1/1250.
To find the highest common factor of 632,399, we have to find the factors of both numbers and list the highest common factor.
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632
The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399
The HCF of 632,399 is 1.
Lets's calculate GCF of 632,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 632
:1,2,4,8,79,158,316,632
Now, list down the factors of 399
:1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 632,399 . The biggest common factor number is the GCF number.
So the greatest common factor 632,399 is 1.
Lets's calculate LCM of 250,625
5 | 250, 625 |
5 | 50, 125 |
5 | 10, 25 |
2, 5 |
∴ So the LCM of the given numbers is 5 x 5 x 5 x 2 x 5 = 1250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1250
Therefore, the GCF of Fractions 632/250,399/625 is 1/1250
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 250,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,625) = 125
common factors(in case of two or more numbers have common factors) = 1
GCF(250,625) x common factors =125 x 1 = 125
LCM(250,625) = ( 250 × 625 ) / 125
LCM(250,625) = 156250 / 125
LCM(250,625) = 1250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 632,399?
The HCF of 632,399 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 632/250, 399/625?
Answer: GCF of Numerators as per given numbers 632/250, 399/625 is
GCF of Numerators i.e. for 632,399 is 1
LCM of denominators i.e. for 250,625 is 1250.
Thus, GCF of Fractions is 1/1250.Finally, GCF of Fractions for 632/250, 399/625 is 1/1250.