Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/23,84/454,338/997
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 52,84,338
Greatest Common Factor of Numerators i.e. GCF of 52,84,338 is 2 .
LCM of Denominators means LCM of 23,454,997 as per the given fractions.
LCM of 23,454,997 is 10410674 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,84,338
2 | 52, 84, 338 |
26, 42, 169 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 338
List of positive integer factors of 338 that divides 338 without a remainder.
1,2,13,26,169,338
Greatest Common Factor
We found the factors 52,84,338 . The biggest common factor number is the GCF number.
So the greatest common factor 52,84,338 is 2.
Lets's calculate LCM of 23,454,997
Given numbers has no common factors except 1. So, there LCM is their product i.e 10410674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10410674
Therefore, the GCF of Fractions 52/23,84/454,338/997 is 2/10410674
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 23,454,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,454,997) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,454,997) x common factors =1 x 1 = 1
LCM(23,454,997) = ( 23 × 454 × 997 ) / 1
LCM(23,454,997) = 10410674 / 1
LCM(23,454,997) = 10410674
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 52/23, 84/454, 338/997?
Answer: GCF of Numerators as per given numbers 52/23, 84/454, 338/997 is
GCF of Numerators i.e. for 52,84,338 is 2
LCM of denominators i.e. for 23,454,997 is 10410674.
Thus, GCF of Fractions is 2/10410674.Finally, GCF of Fractions for 52/23, 84/454, 338/997 is 2/10410674.