Use our free GCF of Fractions Calculator tool to compute the GCF of 790/427, 395/953 i.e 395/406931 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/427, 395/953.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/427,395/953
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 790/427,395/953, numerators are 790,395
Denominators are 427,953
The GCF of 790,395 is 395 .
LCM of 427,953 is 406931.
The greatest common factor of 790/427,395/953 = [GCF of 790,395]/[LCM of 427,953]= 395/406931
Therefore, the GCF of 790/427,395/953 is 395/406931.
To find the highest common factor of 790,395, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 395 are 1, 5, 79, 395
The HCF of 790,395 is 395.
Lets's calculate GCF of 790,395
5 | 790, 395 |
79 | 158, 79 |
2, 1 |
∴ So the GCF of the given numbers is 5 x 79 = 395
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 395
:1,5,79,395
Greatest Common Factor
We found the factors 790,395 . The biggest common factor number is the GCF number.
So the greatest common factor 790,395 is 395.
Lets's calculate LCM of 427,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 406931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 395/406931
Therefore, the GCF of Fractions 790/427,395/953 is 395/406931
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 427,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,953) x common factors =1 x 1 = 1
LCM(427,953) = ( 427 × 953 ) / 1
LCM(427,953) = 406931 / 1
LCM(427,953) = 406931
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 790,395?
The HCF of 790,395 is 395
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 790/427, 395/953?
Answer: GCF of Numerators as per given numbers 790/427, 395/953 is
GCF of Numerators i.e. for 790,395 is 395
LCM of denominators i.e. for 427,953 is 406931.
Thus, GCF of Fractions is 395/406931.Finally, GCF of Fractions for 790/427, 395/953 is 395/406931.