Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/41,882/43,222/47
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 2,882,222
Greatest Common Factor of Numerators i.e. GCF of 2,882,222 is 2 .
LCM of Denominators means LCM of 41,43,47 as per the given fractions.
LCM of 41,43,47 is 82861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,882,222
2 | 2, 882, 222 |
1, 441, 111 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2
List of positive integer factors of 2 that divides 2 without a remainder.
1,2
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 2,882,222 . The biggest common factor number is the GCF number.
So the greatest common factor 2,882,222 is 2.
Lets's calculate LCM of 41,43,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 82861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82861
Therefore, the GCF of Fractions 2/41,882/43,222/47 is 2/82861
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 41,43,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,43,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,43,47) x common factors =1 x 1 = 1
LCM(41,43,47) = ( 41 × 43 × 47 ) / 1
LCM(41,43,47) = 82861 / 1
LCM(41,43,47) = 82861
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 2/41, 882/43, 222/47?
Answer: GCF of Numerators as per given numbers 2/41, 882/43, 222/47 is
GCF of Numerators i.e. for 2,882,222 is 2
LCM of denominators i.e. for 41,43,47 is 82861.
Thus, GCF of Fractions is 2/82861.Finally, GCF of Fractions for 2/41, 882/43, 222/47 is 2/82861.