Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 710/25,868/79,399/905
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 710,868,399
Greatest Common Factor of Numerators i.e. GCF of 710,868,399 is 1 .
LCM of Denominators means LCM of 25,79,905 as per the given fractions.
LCM of 25,79,905 is 357475 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 710,868,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 868
List of positive integer factors of 868 that divides 868 without a remainder.
1,2,4,7,14,28,31,62,124,217,434,868
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 710,868,399 . The biggest common factor number is the GCF number.
So the greatest common factor 710,868,399 is 1.
Lets's calculate LCM of 25,79,905
5 | 25, 79, 905 |
5, 79, 181 |
∴ So the LCM of the given numbers is 5 x 5 x 79 x 181 = 357475
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/357475
Therefore, the GCF of Fractions 710/25,868/79,399/905 is 1/357475
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 25,79,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,79,905) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(25,79,905) x common factors =1 x 5 = 5
LCM(25,79,905) = ( 25 × 79 × 905 ) / 5
LCM(25,79,905) = 1787375 / 5
LCM(25,79,905) = 357475
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 710/25, 868/79, 399/905?
Answer: GCF of Numerators as per given numbers 710/25, 868/79, 399/905 is
GCF of Numerators i.e. for 710,868,399 is 1
LCM of denominators i.e. for 25,79,905 is 357475.
Thus, GCF of Fractions is 1/357475.Finally, GCF of Fractions for 710/25, 868/79, 399/905 is 1/357475.