Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 696/65,3985/745
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 696,3985
Greatest Common Factor of Numerators i.e. GCF of 696,3985 is 1 .
LCM of Denominators means LCM of 65,745 as per the given fractions.
LCM of 65,745 is 9685 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 696,3985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 3985
List of positive integer factors of 3985 that divides 3985 without a remainder.
1,5,797,3985
Greatest Common Factor
We found the factors 696,3985 . The biggest common factor number is the GCF number.
So the greatest common factor 696,3985 is 1.
Lets's calculate LCM of 65,745
5 | 65, 745 |
13, 149 |
∴ So the LCM of the given numbers is 5 x 13 x 149 = 9685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9685
Therefore, the GCF of Fractions 696/65,3985/745 is 1/9685
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 65,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,745) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(65,745) x common factors =5 x 1 = 5
LCM(65,745) = ( 65 × 745 ) / 5
LCM(65,745) = 48425 / 5
LCM(65,745) = 9685
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 696/65, 3985/745?
Answer: GCF of Numerators as per given numbers 696/65, 3985/745 is
GCF of Numerators i.e. for 696,3985 is 1
LCM of denominators i.e. for 65,745 is 9685.
Thus, GCF of Fractions is 1/9685.Finally, GCF of Fractions for 696/65, 3985/745 is 1/9685.