Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 847/68,176/69,188/868
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 847,176,188
Greatest Common Factor of Numerators i.e. GCF of 847,176,188 is 1 .
LCM of Denominators means LCM of 68,69,868 as per the given fractions.
LCM of 68,69,868 is 1018164 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 847,176,188
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Greatest Common Factor
We found the factors 847,176,188 . The biggest common factor number is the GCF number.
So the greatest common factor 847,176,188 is 1.
Lets's calculate LCM of 68,69,868
2 | 68, 69, 868 |
2 | 34, 69, 434 |
17, 69, 217 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 69 x 217 = 1018164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1018164
Therefore, the GCF of Fractions 847/68,176/69,188/868 is 1/1018164
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 68,69,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,69,868) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(68,69,868) x common factors =1 x 4 = 4
LCM(68,69,868) = ( 68 × 69 × 868 ) / 4
LCM(68,69,868) = 4072656 / 4
LCM(68,69,868) = 1018164
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 847/68, 176/69, 188/868?
Answer: GCF of Numerators as per given numbers 847/68, 176/69, 188/868 is
GCF of Numerators i.e. for 847,176,188 is 1
LCM of denominators i.e. for 68,69,868 is 1018164.
Thus, GCF of Fractions is 1/1018164.Finally, GCF of Fractions for 847/68, 176/69, 188/868 is 1/1018164.