Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 696/37,696/9226
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 696,696
Greatest Common Factor of Numerators i.e. GCF of 696,696 is 696 .
LCM of Denominators means LCM of 37,9226 as per the given fractions.
LCM of 37,9226 is 341362 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 696,696
2 | 696, 696 |
2 | 348, 348 |
2 | 174, 174 |
3 | 87, 87 |
29 | 29, 29 |
1, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 29 = 696
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 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
Greatest Common Factor
We found the factors 696,696 . The biggest common factor number is the GCF number.
So the greatest common factor 696,696 is 696.
Lets's calculate LCM of 37,9226
Given numbers has no common factors except 1. So, there LCM is their product i.e 341362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 696/341362
Therefore, the GCF of Fractions 696/37,696/9226 is 696/341362
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 37,9226 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,9226) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,9226) x common factors =1 x 1 = 1
LCM(37,9226) = ( 37 × 9226 ) / 1
LCM(37,9226) = 341362 / 1
LCM(37,9226) = 341362
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 696/37, 696/9226?
Answer: GCF of Numerators as per given numbers 696/37, 696/9226 is
GCF of Numerators i.e. for 696,696 is 696
LCM of denominators i.e. for 37,9226 is 341362.
Thus, GCF of Fractions is 696/341362.Finally, GCF of Fractions for 696/37, 696/9226 is 696/341362.