Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5881/696,7362/8116
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 5881,7362
Greatest Common Factor of Numerators i.e. GCF of 5881,7362 is 1 .
LCM of Denominators means LCM of 696,8116 as per the given fractions.
LCM of 696,8116 is 1412184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5881,7362
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5881
List of positive integer factors of 5881 that divides 5881 without a remainder.
1,5881
Factors of 7362
List of positive integer factors of 7362 that divides 7362 without a remainder.
1,2,3,6,9,18,409,818,1227,2454,3681,7362
Greatest Common Factor
We found the factors 5881,7362 . The biggest common factor number is the GCF number.
So the greatest common factor 5881,7362 is 1.
Lets's calculate LCM of 696,8116
2 | 696, 8116 |
2 | 348, 4058 |
174, 2029 |
∴ So the LCM of the given numbers is 2 x 2 x 174 x 2029 = 1412184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1412184
Therefore, the GCF of Fractions 5881/696,7362/8116 is 1/1412184
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 696,8116 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,8116) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(696,8116) x common factors =4 x 1 = 4
LCM(696,8116) = ( 696 × 8116 ) / 4
LCM(696,8116) = 5648736 / 4
LCM(696,8116) = 1412184
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 5881/696, 7362/8116?
Answer: GCF of Numerators as per given numbers 5881/696, 7362/8116 is
GCF of Numerators i.e. for 5881,7362 is 1
LCM of denominators i.e. for 696,8116 is 1412184.
Thus, GCF of Fractions is 1/1412184.Finally, GCF of Fractions for 5881/696, 7362/8116 is 1/1412184.