Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 534/21,938/47,275/81
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 534,938,275
Greatest Common Factor of Numerators i.e. GCF of 534,938,275 is 1 .
LCM of Denominators means LCM of 21,47,81 as per the given fractions.
LCM of 21,47,81 is 26649 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 534,938,275
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Factors of 938
List of positive integer factors of 938 that divides 938 without a remainder.
1,2,7,14,67,134,469,938
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Greatest Common Factor
We found the factors 534,938,275 . The biggest common factor number is the GCF number.
So the greatest common factor 534,938,275 is 1.
Lets's calculate LCM of 21,47,81
3 | 21, 47, 81 |
7, 47, 27 |
∴ So the LCM of the given numbers is 3 x 7 x 47 x 27 = 26649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26649
Therefore, the GCF of Fractions 534/21,938/47,275/81 is 1/26649
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 21,47,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,47,81) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(21,47,81) x common factors =1 x 3 = 3
LCM(21,47,81) = ( 21 × 47 × 81 ) / 3
LCM(21,47,81) = 79947 / 3
LCM(21,47,81) = 26649
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 534/21, 938/47, 275/81?
Answer: GCF of Numerators as per given numbers 534/21, 938/47, 275/81 is
GCF of Numerators i.e. for 534,938,275 is 1
LCM of denominators i.e. for 21,47,81 is 26649.
Thus, GCF of Fractions is 1/26649.Finally, GCF of Fractions for 534/21, 938/47, 275/81 is 1/26649.