Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 115/120,231/596,959/798
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 115,231,959
Greatest Common Factor of Numerators i.e. GCF of 115,231,959 is 1 .
LCM of Denominators means LCM of 120,596,798 as per the given fractions.
LCM of 120,596,798 is 2378040 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 115,231,959
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 231
List of positive integer factors of 231 that divides 231 without a remainder.
1,3,7,11,21,33,77,231
Factors of 959
List of positive integer factors of 959 that divides 959 without a remainder.
1,7,137,959
Greatest Common Factor
We found the factors 115,231,959 . The biggest common factor number is the GCF number.
So the greatest common factor 115,231,959 is 1.
Lets's calculate LCM of 120,596,798
2 | 120, 596, 798 |
2 | 60, 298, 399 |
3 | 30, 149, 399 |
10, 149, 133 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 149 x 133 = 2378040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2378040
Therefore, the GCF of Fractions 115/120,231/596,959/798 is 1/2378040
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 120,596,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,596,798) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(120,596,798) x common factors =2 x 12 = 24
LCM(120,596,798) = ( 120 × 596 × 798 ) / 24
LCM(120,596,798) = 57072960 / 24
LCM(120,596,798) = 2378040
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 115/120, 231/596, 959/798?
Answer: GCF of Numerators as per given numbers 115/120, 231/596, 959/798 is
GCF of Numerators i.e. for 115,231,959 is 1
LCM of denominators i.e. for 120,596,798 is 2378040.
Thus, GCF of Fractions is 1/2378040.Finally, GCF of Fractions for 115/120, 231/596, 959/798 is 1/2378040.