Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 536/942,293/344,196/815
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 536,293,196
Greatest Common Factor of Numerators i.e. GCF of 536,293,196 is 1 .
LCM of Denominators means LCM of 942,344,815 as per the given fractions.
LCM of 942,344,815 is 132049560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 536,293,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 536
List of positive integer factors of 536 that divides 536 without a remainder.
1,2,4,8,67,134,268,536
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 536,293,196 . The biggest common factor number is the GCF number.
So the greatest common factor 536,293,196 is 1.
Lets's calculate LCM of 942,344,815
2 | 942, 344, 815 |
471, 172, 815 |
∴ So the LCM of the given numbers is 2 x 471 x 172 x 815 = 132049560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132049560
Therefore, the GCF of Fractions 536/942,293/344,196/815 is 1/132049560
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 942,344,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,344,815) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(942,344,815) x common factors =1 x 2 = 2
LCM(942,344,815) = ( 942 × 344 × 815 ) / 2
LCM(942,344,815) = 264099120 / 2
LCM(942,344,815) = 132049560
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 536/942, 293/344, 196/815?
Answer: GCF of Numerators as per given numbers 536/942, 293/344, 196/815 is
GCF of Numerators i.e. for 536,293,196 is 1
LCM of denominators i.e. for 942,344,815 is 132049560.
Thus, GCF of Fractions is 1/132049560.Finally, GCF of Fractions for 536/942, 293/344, 196/815 is 1/132049560.