Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 835/102,5902/178
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 835,5902
Greatest Common Factor of Numerators i.e. GCF of 835,5902 is 1 .
LCM of Denominators means LCM of 102,178 as per the given fractions.
LCM of 102,178 is 9078 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 835,5902
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Factors of 5902
List of positive integer factors of 5902 that divides 5902 without a remainder.
1,2,13,26,227,454,2951,5902
Greatest Common Factor
We found the factors 835,5902 . The biggest common factor number is the GCF number.
So the greatest common factor 835,5902 is 1.
Lets's calculate LCM of 102,178
2 | 102, 178 |
51, 89 |
∴ So the LCM of the given numbers is 2 x 51 x 89 = 9078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9078
Therefore, the GCF of Fractions 835/102,5902/178 is 1/9078
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 102,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(102,178) x common factors =2 x 1 = 2
LCM(102,178) = ( 102 × 178 ) / 2
LCM(102,178) = 18156 / 2
LCM(102,178) = 9078
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 835/102, 5902/178?
Answer: GCF of Numerators as per given numbers 835/102, 5902/178 is
GCF of Numerators i.e. for 835,5902 is 1
LCM of denominators i.e. for 102,178 is 9078.
Thus, GCF of Fractions is 1/9078.Finally, GCF of Fractions for 835/102, 5902/178 is 1/9078.