Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1819/802,7829/7912
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 1819,7829
Greatest Common Factor of Numerators i.e. GCF of 1819,7829 is 1 .
LCM of Denominators means LCM of 802,7912 as per the given fractions.
LCM of 802,7912 is 3172712 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1819,7829
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1819
List of positive integer factors of 1819 that divides 1819 without a remainder.
1,17,107,1819
Factors of 7829
List of positive integer factors of 7829 that divides 7829 without a remainder.
1,7829
Greatest Common Factor
We found the factors 1819,7829 . The biggest common factor number is the GCF number.
So the greatest common factor 1819,7829 is 1.
Lets's calculate LCM of 802,7912
2 | 802, 7912 |
401, 3956 |
∴ So the LCM of the given numbers is 2 x 401 x 3956 = 3172712
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3172712
Therefore, the GCF of Fractions 1819/802,7829/7912 is 1/3172712
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 802,7912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(802,7912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(802,7912) x common factors =2 x 1 = 2
LCM(802,7912) = ( 802 × 7912 ) / 2
LCM(802,7912) = 6345424 / 2
LCM(802,7912) = 3172712
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 1819/802, 7829/7912?
Answer: GCF of Numerators as per given numbers 1819/802, 7829/7912 is
GCF of Numerators i.e. for 1819,7829 is 1
LCM of denominators i.e. for 802,7912 is 3172712.
Thus, GCF of Fractions is 1/3172712.Finally, GCF of Fractions for 1819/802, 7829/7912 is 1/3172712.