Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 957/851,603/161,173/135
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 957,603,173
Greatest Common Factor of Numerators i.e. GCF of 957,603,173 is 1 .
LCM of Denominators means LCM of 851,161,135 as per the given fractions.
LCM of 851,161,135 is 804195 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 957,603,173
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Factors of 603
List of positive integer factors of 603 that divides 603 without a remainder.
1,3,9,67,201,603
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Greatest Common Factor
We found the factors 957,603,173 . The biggest common factor number is the GCF number.
So the greatest common factor 957,603,173 is 1.
Lets's calculate LCM of 851,161,135
23 | 851, 161, 135 |
37, 7, 135 |
∴ So the LCM of the given numbers is 23 x 37 x 7 x 135 = 804195
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804195
Therefore, the GCF of Fractions 957/851,603/161,173/135 is 1/804195
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 851,161,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,161,135) = 1
common factors(in case of two or more numbers have common factors) = 23
GCF(851,161,135) x common factors =1 x 23 = 23
LCM(851,161,135) = ( 851 × 161 × 135 ) / 23
LCM(851,161,135) = 18496485 / 23
LCM(851,161,135) = 804195
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 957/851, 603/161, 173/135?
Answer: GCF of Numerators as per given numbers 957/851, 603/161, 173/135 is
GCF of Numerators i.e. for 957,603,173 is 1
LCM of denominators i.e. for 851,161,135 is 804195.
Thus, GCF of Fractions is 1/804195.Finally, GCF of Fractions for 957/851, 603/161, 173/135 is 1/804195.