Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7030/213,2419/694
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 7030,2419
Greatest Common Factor of Numerators i.e. GCF of 7030,2419 is 1 .
LCM of Denominators means LCM of 213,694 as per the given fractions.
LCM of 213,694 is 147822 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7030,2419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7030
List of positive integer factors of 7030 that divides 7030 without a remainder.
1,2,5,10,19,37,38,74,95,185,190,370,703,1406,3515,7030
Factors of 2419
List of positive integer factors of 2419 that divides 2419 without a remainder.
1,41,59,2419
Greatest Common Factor
We found the factors 7030,2419 . The biggest common factor number is the GCF number.
So the greatest common factor 7030,2419 is 1.
Lets's calculate LCM of 213,694
Given numbers has no common factors except 1. So, there LCM is their product i.e 147822
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147822
Therefore, the GCF of Fractions 7030/213,2419/694 is 1/147822
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 213,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(213,694) x common factors =1 x 1 = 1
LCM(213,694) = ( 213 × 694 ) / 1
LCM(213,694) = 147822 / 1
LCM(213,694) = 147822
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 7030/213, 2419/694?
Answer: GCF of Numerators as per given numbers 7030/213, 2419/694 is
GCF of Numerators i.e. for 7030,2419 is 1
LCM of denominators i.e. for 213,694 is 147822.
Thus, GCF of Fractions is 1/147822.Finally, GCF of Fractions for 7030/213, 2419/694 is 1/147822.