Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 327/90,266/67,856/636
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 327,266,856
Greatest Common Factor of Numerators i.e. GCF of 327,266,856 is 1 .
LCM of Denominators means LCM of 90,67,636 as per the given fractions.
LCM of 90,67,636 is 639180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 327,266,856
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 856
List of positive integer factors of 856 that divides 856 without a remainder.
1,2,4,8,107,214,428,856
Greatest Common Factor
We found the factors 327,266,856 . The biggest common factor number is the GCF number.
So the greatest common factor 327,266,856 is 1.
Lets's calculate LCM of 90,67,636
2 | 90, 67, 636 |
3 | 45, 67, 318 |
15, 67, 106 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 67 x 106 = 639180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/639180
Therefore, the GCF of Fractions 327/90,266/67,856/636 is 1/639180
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 90,67,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,67,636) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(90,67,636) x common factors =1 x 6 = 6
LCM(90,67,636) = ( 90 × 67 × 636 ) / 6
LCM(90,67,636) = 3835080 / 6
LCM(90,67,636) = 639180
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 327/90, 266/67, 856/636?
Answer: GCF of Numerators as per given numbers 327/90, 266/67, 856/636 is
GCF of Numerators i.e. for 327,266,856 is 1
LCM of denominators i.e. for 90,67,636 is 639180.
Thus, GCF of Fractions is 1/639180.Finally, GCF of Fractions for 327/90, 266/67, 856/636 is 1/639180.