Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4/42,472/47,114/67
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 4,472,114
Greatest Common Factor of Numerators i.e. GCF of 4,472,114 is 2 .
LCM of Denominators means LCM of 42,47,67 as per the given fractions.
LCM of 42,47,67 is 132258 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4,472,114
2 | 4, 472, 114 |
2, 236, 57 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Greatest Common Factor
We found the factors 4,472,114 . The biggest common factor number is the GCF number.
So the greatest common factor 4,472,114 is 2.
Lets's calculate LCM of 42,47,67
Given numbers has no common factors except 1. So, there LCM is their product i.e 132258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/132258
Therefore, the GCF of Fractions 4/42,472/47,114/67 is 2/132258
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 42,47,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,47,67) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(42,47,67) x common factors =1 x 1 = 1
LCM(42,47,67) = ( 42 × 47 × 67 ) / 1
LCM(42,47,67) = 132258 / 1
LCM(42,47,67) = 132258
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 4/42, 472/47, 114/67?
Answer: GCF of Numerators as per given numbers 4/42, 472/47, 114/67 is
GCF of Numerators i.e. for 4,472,114 is 2
LCM of denominators i.e. for 42,47,67 is 132258.
Thus, GCF of Fractions is 2/132258.Finally, GCF of Fractions for 4/42, 472/47, 114/67 is 2/132258.