Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 792/56,318/49,916/24
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 792,318,916
Greatest Common Factor of Numerators i.e. GCF of 792,318,916 is 2 .
LCM of Denominators means LCM of 56,49,24 as per the given fractions.
LCM of 56,49,24 is 1176 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 792,318,916
2 | 792, 318, 916 |
396, 159, 458 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
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 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Greatest Common Factor
We found the factors 792,318,916 . The biggest common factor number is the GCF number.
So the greatest common factor 792,318,916 is 2.
Lets's calculate LCM of 56,49,24
2 | 56, 49, 24 |
2 | 28, 49, 12 |
2 | 14, 49, 6 |
7 | 7, 49, 3 |
1, 7, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 1 x 7 x 3 = 1176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1176
Therefore, the GCF of Fractions 792/56,318/49,916/24 is 2/1176
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 56,49,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,49,24) = 1
common factors(in case of two or more numbers have common factors) = 56
GCF(56,49,24) x common factors =1 x 56 = 56
LCM(56,49,24) = ( 56 × 49 × 24 ) / 56
LCM(56,49,24) = 65856 / 56
LCM(56,49,24) = 1176
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 792/56, 318/49, 916/24?
Answer: GCF of Numerators as per given numbers 792/56, 318/49, 916/24 is
GCF of Numerators i.e. for 792,318,916 is 2
LCM of denominators i.e. for 56,49,24 is 1176.
Thus, GCF of Fractions is 2/1176.Finally, GCF of Fractions for 792/56, 318/49, 916/24 is 2/1176.