Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/67,74/805,184/881
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 34,74,184
Greatest Common Factor of Numerators i.e. GCF of 34,74,184 is 2 .
LCM of Denominators means LCM of 67,805,881 as per the given fractions.
LCM of 67,805,881 is 47516735 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,74,184
2 | 34, 74, 184 |
17, 37, 92 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 34,74,184 . The biggest common factor number is the GCF number.
So the greatest common factor 34,74,184 is 2.
Lets's calculate LCM of 67,805,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 47516735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47516735
Therefore, the GCF of Fractions 34/67,74/805,184/881 is 2/47516735
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 67,805,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,805,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,805,881) x common factors =1 x 1 = 1
LCM(67,805,881) = ( 67 × 805 × 881 ) / 1
LCM(67,805,881) = 47516735 / 1
LCM(67,805,881) = 47516735
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 34/67, 74/805, 184/881?
Answer: GCF of Numerators as per given numbers 34/67, 74/805, 184/881 is
GCF of Numerators i.e. for 34,74,184 is 2
LCM of denominators i.e. for 67,805,881 is 47516735.
Thus, GCF of Fractions is 2/47516735.Finally, GCF of Fractions for 34/67, 74/805, 184/881 is 2/47516735.