Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 183/59,937/72,972/926
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 183,937,972
Greatest Common Factor of Numerators i.e. GCF of 183,937,972 is 1 .
LCM of Denominators means LCM of 59,72,926 as per the given fractions.
LCM of 59,72,926 is 1966824 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 183,937,972
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 183
List of positive integer factors of 183 that divides 183 without a remainder.
1,3,61,183
Factors of 937
List of positive integer factors of 937 that divides 937 without a remainder.
1,937
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Greatest Common Factor
We found the factors 183,937,972 . The biggest common factor number is the GCF number.
So the greatest common factor 183,937,972 is 1.
Lets's calculate LCM of 59,72,926
2 | 59, 72, 926 |
59, 36, 463 |
∴ So the LCM of the given numbers is 2 x 59 x 36 x 463 = 1966824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1966824
Therefore, the GCF of Fractions 183/59,937/72,972/926 is 1/1966824
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 59,72,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,72,926) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(59,72,926) x common factors =1 x 2 = 2
LCM(59,72,926) = ( 59 × 72 × 926 ) / 2
LCM(59,72,926) = 3933648 / 2
LCM(59,72,926) = 1966824
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 183/59, 937/72, 972/926?
Answer: GCF of Numerators as per given numbers 183/59, 937/72, 972/926 is
GCF of Numerators i.e. for 183,937,972 is 1
LCM of denominators i.e. for 59,72,926 is 1966824.
Thus, GCF of Fractions is 1/1966824.Finally, GCF of Fractions for 183/59, 937/72, 972/926 is 1/1966824.