Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 65/696,9126/3642
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 65,9126
Greatest Common Factor of Numerators i.e. GCF of 65,9126 is 13 .
LCM of Denominators means LCM of 696,3642 as per the given fractions.
LCM of 696,3642 is 422472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 65,9126
13 | 65, 9126 |
5, 702 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 9126
List of positive integer factors of 9126 that divides 9126 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,169,234,338,351,507,702,1014,1521,3042,4563,9126
Greatest Common Factor
We found the factors 65,9126 . The biggest common factor number is the GCF number.
So the greatest common factor 65,9126 is 13.
Lets's calculate LCM of 696,3642
2 | 696, 3642 |
3 | 348, 1821 |
116, 607 |
∴ So the LCM of the given numbers is 2 x 3 x 116 x 607 = 422472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/422472
Therefore, the GCF of Fractions 65/696,9126/3642 is 13/422472
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 696,3642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,3642) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(696,3642) x common factors =6 x 1 = 6
LCM(696,3642) = ( 696 × 3642 ) / 6
LCM(696,3642) = 2534832 / 6
LCM(696,3642) = 422472
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 65/696, 9126/3642?
Answer: GCF of Numerators as per given numbers 65/696, 9126/3642 is
GCF of Numerators i.e. for 65,9126 is 13
LCM of denominators i.e. for 696,3642 is 422472.
Thus, GCF of Fractions is 13/422472.Finally, GCF of Fractions for 65/696, 9126/3642 is 13/422472.