Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 492/26,114/98,719/462
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 492,114,719
Greatest Common Factor of Numerators i.e. GCF of 492,114,719 is 1 .
LCM of Denominators means LCM of 26,98,462 as per the given fractions.
LCM of 26,98,462 is 42042 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 492,114,719
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Greatest Common Factor
We found the factors 492,114,719 . The biggest common factor number is the GCF number.
So the greatest common factor 492,114,719 is 1.
Lets's calculate LCM of 26,98,462
2 | 26, 98, 462 |
7 | 13, 49, 231 |
13, 7, 33 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 7 x 33 = 42042
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42042
Therefore, the GCF of Fractions 492/26,114/98,719/462 is 1/42042
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 26,98,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,98,462) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(26,98,462) x common factors =2 x 14 = 28
LCM(26,98,462) = ( 26 × 98 × 462 ) / 28
LCM(26,98,462) = 1177176 / 28
LCM(26,98,462) = 42042
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 492/26, 114/98, 719/462?
Answer: GCF of Numerators as per given numbers 492/26, 114/98, 719/462 is
GCF of Numerators i.e. for 492,114,719 is 1
LCM of denominators i.e. for 26,98,462 is 42042.
Thus, GCF of Fractions is 1/42042.Finally, GCF of Fractions for 492/26, 114/98, 719/462 is 1/42042.