Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 96/26,34/42,56/54,990/96
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 96,34,56,990
Greatest Common Factor of Numerators i.e. GCF of 96,34,56,990 is 2 .
LCM of Denominators means LCM of 26,42,54,96 as per the given fractions.
LCM of 26,42,54,96 is 78624 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 96,34,56,990
2 | 96, 34, 56, 990 |
48, 17, 28, 495 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Greatest Common Factor
We found the factors 96,34,56,990 . The biggest common factor number is the GCF number.
So the greatest common factor 96,34,56,990 is 2.
Lets's calculate LCM of 26,42,54,96
2 | 26, 42, 54, 96 |
3 | 13, 21, 27, 48 |
13, 7, 9, 16 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 7 x 9 x 16 = 78624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/78624
Therefore, the GCF of Fractions 96/26,34/42,56/54,990/96 is 2/78624
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 26,42,54,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,42,54,96) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(26,42,54,96) x common factors =2 x 36 = 72
LCM(26,42,54,96) = ( 26 × 42 × 54 × 96 ) / 72
LCM(26,42,54,96) = 5660928 / 72
LCM(26,42,54,96) = 78624
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 96/26, 34/42, 56/54, 990/96?
Answer: GCF of Numerators as per given numbers 96/26, 34/42, 56/54, 990/96 is
GCF of Numerators i.e. for 96,34,56,990 is 2
LCM of denominators i.e. for 26,42,54,96 is 78624.
Thus, GCF of Fractions is 2/78624.Finally, GCF of Fractions for 96/26, 34/42, 56/54, 990/96 is 2/78624.