Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 914/24,136/62,804/72
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 914,136,804
Greatest Common Factor of Numerators i.e. GCF of 914,136,804 is 2 .
LCM of Denominators means LCM of 24,62,72 as per the given fractions.
LCM of 24,62,72 is 2232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 914,136,804
2 | 914, 136, 804 |
457, 68, 402 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Factors of 136
List of positive integer factors of 136 that divides 136 without a remainder.
1,2,4,8,17,34,68,136
Factors of 804
List of positive integer factors of 804 that divides 804 without a remainder.
1,2,3,4,6,12,67,134,201,268,402,804
Greatest Common Factor
We found the factors 914,136,804 . The biggest common factor number is the GCF number.
So the greatest common factor 914,136,804 is 2.
Lets's calculate LCM of 24,62,72
2 | 24, 62, 72 |
2 | 12, 31, 36 |
2 | 6, 31, 18 |
3 | 3, 31, 9 |
1, 31, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 31 x 3 = 2232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2232
Therefore, the GCF of Fractions 914/24,136/62,804/72 is 2/2232
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 24,62,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,62,72) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(24,62,72) x common factors =2 x 24 = 48
LCM(24,62,72) = ( 24 × 62 × 72 ) / 48
LCM(24,62,72) = 107136 / 48
LCM(24,62,72) = 2232
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 914/24, 136/62, 804/72?
Answer: GCF of Numerators as per given numbers 914/24, 136/62, 804/72 is
GCF of Numerators i.e. for 914,136,804 is 2
LCM of denominators i.e. for 24,62,72 is 2232.
Thus, GCF of Fractions is 2/2232.Finally, GCF of Fractions for 914/24, 136/62, 804/72 is 2/2232.