Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/795,845/823,769/795
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 95,845,769
Greatest Common Factor of Numerators i.e. GCF of 95,845,769 is 1 .
LCM of Denominators means LCM of 795,823,795 as per the given fractions.
LCM of 795,823,795 is 654285 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,845,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 845
List of positive integer factors of 845 that divides 845 without a remainder.
1,5,13,65,169,845
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 95,845,769 . The biggest common factor number is the GCF number.
So the greatest common factor 95,845,769 is 1.
Lets's calculate LCM of 795,823,795
3 | 795, 823, 795 |
5 | 265, 823, 265 |
53 | 53, 823, 53 |
1, 823, 1 |
∴ So the LCM of the given numbers is 3 x 5 x 53 x 1 x 823 x 1 = 654285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/654285
Therefore, the GCF of Fractions 95/795,845/823,769/795 is 1/654285
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 795,823,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(795,823,795) = 1
common factors(in case of two or more numbers have common factors) = 795
GCF(795,823,795) x common factors =1 x 795 = 795
LCM(795,823,795) = ( 795 × 823 × 795 ) / 795
LCM(795,823,795) = 520156575 / 795
LCM(795,823,795) = 654285
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 95/795, 845/823, 769/795?
Answer: GCF of Numerators as per given numbers 95/795, 845/823, 769/795 is
GCF of Numerators i.e. for 95,845,769 is 1
LCM of denominators i.e. for 795,823,795 is 654285.
Thus, GCF of Fractions is 1/654285.Finally, GCF of Fractions for 95/795, 845/823, 769/795 is 1/654285.