Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/67,532/40,949/194
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 534,532,949
Greatest Common Factor of Numerators i.e. GCF of 534,532,949 is 1 .
LCM of Denominators means LCM of 67,40,194 as per the given fractions.
LCM of 67,40,194 is 259960 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 534,532,949
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Greatest Common Factor
We found the factors 534,532,949 . The biggest common factor number is the GCF number.
So the greatest common factor 534,532,949 is 1.
Lets's calculate LCM of 67,40,194
2 | 67, 40, 194 |
67, 20, 97 |
∴ So the LCM of the given numbers is 2 x 67 x 20 x 97 = 259960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/259960
Therefore, the GCF of Fractions 534/67,532/40,949/194 is 1/259960
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 67,40,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,40,194) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(67,40,194) x common factors =1 x 2 = 2
LCM(67,40,194) = ( 67 × 40 × 194 ) / 2
LCM(67,40,194) = 519920 / 2
LCM(67,40,194) = 259960
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 534/67, 532/40, 949/194?
Answer: GCF of Numerators as per given numbers 534/67, 532/40, 949/194 is
GCF of Numerators i.e. for 534,532,949 is 1
LCM of denominators i.e. for 67,40,194 is 259960.
Thus, GCF of Fractions is 1/259960.Finally, GCF of Fractions for 534/67, 532/40, 949/194 is 1/259960.