Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 11/52,280/76,992/67
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 11,280,992
Greatest Common Factor of Numerators i.e. GCF of 11,280,992 is 1 .
LCM of Denominators means LCM of 52,76,67 as per the given fractions.
LCM of 52,76,67 is 66196 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 11,280,992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Greatest Common Factor
We found the factors 11,280,992 . The biggest common factor number is the GCF number.
So the greatest common factor 11,280,992 is 1.
Lets's calculate LCM of 52,76,67
2 | 52, 76, 67 |
2 | 26, 38, 67 |
13, 19, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 67 = 66196
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66196
Therefore, the GCF of Fractions 11/52,280/76,992/67 is 1/66196
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 52,76,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,76,67) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(52,76,67) x common factors =1 x 4 = 4
LCM(52,76,67) = ( 52 × 76 × 67 ) / 4
LCM(52,76,67) = 264784 / 4
LCM(52,76,67) = 66196
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 11/52, 280/76, 992/67?
Answer: GCF of Numerators as per given numbers 11/52, 280/76, 992/67 is
GCF of Numerators i.e. for 11,280,992 is 1
LCM of denominators i.e. for 52,76,67 is 66196.
Thus, GCF of Fractions is 1/66196.Finally, GCF of Fractions for 11/52, 280/76, 992/67 is 1/66196.