Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2/47,36/59,62/447,116/316
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 2,36,62,116
Greatest Common Factor of Numerators i.e. GCF of 2,36,62,116 is 2 .
LCM of Denominators means LCM of 47,59,447,316 as per the given fractions.
LCM of 47,59,447,316 is 391691796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2,36,62,116
2 | 2, 36, 62, 116 |
1, 18, 31, 58 |
∴ 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 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 116
List of positive integer factors of 116 that divides 116 without a remainder.
1,2,4,29,58,116
Greatest Common Factor
We found the factors 2,36,62,116 . The biggest common factor number is the GCF number.
So the greatest common factor 2,36,62,116 is 2.
Lets's calculate LCM of 47,59,447,316
Given numbers has no common factors except 1. So, there LCM is their product i.e 391691796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/391691796
Therefore, the GCF of Fractions 2/47,36/59,62/447,116/316 is 2/391691796
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 47,59,447,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,59,447,316) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,59,447,316) x common factors =1 x 1 = 1
LCM(47,59,447,316) = ( 47 × 59 × 447 × 316 ) / 1
LCM(47,59,447,316) = 391691796 / 1
LCM(47,59,447,316) = 391691796
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 2/47, 36/59, 62/447, 116/316?
Answer: GCF of Numerators as per given numbers 2/47, 36/59, 62/447, 116/316 is
GCF of Numerators i.e. for 2,36,62,116 is 2
LCM of denominators i.e. for 47,59,447,316 is 391691796.
Thus, GCF of Fractions is 2/391691796.Finally, GCF of Fractions for 2/47, 36/59, 62/447, 116/316 is 2/391691796.