Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/33,59/88,283/901
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 95,59,283
Greatest Common Factor of Numerators i.e. GCF of 95,59,283 is 1 .
LCM of Denominators means LCM of 33,88,901 as per the given fractions.
LCM of 33,88,901 is 237864 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,59,283
∴ 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 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 95,59,283 . The biggest common factor number is the GCF number.
So the greatest common factor 95,59,283 is 1.
Lets's calculate LCM of 33,88,901
11 | 33, 88, 901 |
3, 8, 901 |
∴ So the LCM of the given numbers is 11 x 3 x 8 x 901 = 237864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/237864
Therefore, the GCF of Fractions 95/33,59/88,283/901 is 1/237864
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 33,88,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,88,901) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(33,88,901) x common factors =1 x 11 = 11
LCM(33,88,901) = ( 33 × 88 × 901 ) / 11
LCM(33,88,901) = 2616504 / 11
LCM(33,88,901) = 237864
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 95/33, 59/88, 283/901?
Answer: GCF of Numerators as per given numbers 95/33, 59/88, 283/901 is
GCF of Numerators i.e. for 95,59,283 is 1
LCM of denominators i.e. for 33,88,901 is 237864.
Thus, GCF of Fractions is 1/237864.Finally, GCF of Fractions for 95/33, 59/88, 283/901 is 1/237864.