Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 318/59,677/42,901/24
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 318,677,901
Greatest Common Factor of Numerators i.e. GCF of 318,677,901 is 1 .
LCM of Denominators means LCM of 59,42,24 as per the given fractions.
LCM of 59,42,24 is 9912 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 318,677,901
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 677
List of positive integer factors of 677 that divides 677 without a remainder.
1,677
Factors of 901
List of positive integer factors of 901 that divides 901 without a remainder.
1,17,53,901
Greatest Common Factor
We found the factors 318,677,901 . The biggest common factor number is the GCF number.
So the greatest common factor 318,677,901 is 1.
Lets's calculate LCM of 59,42,24
2 | 59, 42, 24 |
3 | 59, 21, 12 |
59, 7, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 7 x 4 = 9912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9912
Therefore, the GCF of Fractions 318/59,677/42,901/24 is 1/9912
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 59,42,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,42,24) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(59,42,24) x common factors =1 x 6 = 6
LCM(59,42,24) = ( 59 × 42 × 24 ) / 6
LCM(59,42,24) = 59472 / 6
LCM(59,42,24) = 9912
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 318/59, 677/42, 901/24?
Answer: GCF of Numerators as per given numbers 318/59, 677/42, 901/24 is
GCF of Numerators i.e. for 318,677,901 is 1
LCM of denominators i.e. for 59,42,24 is 9912.
Thus, GCF of Fractions is 1/9912.Finally, GCF of Fractions for 318/59, 677/42, 901/24 is 1/9912.