Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 218/625,987/699
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 218,987
Greatest Common Factor of Numerators i.e. GCF of 218,987 is 1 .
LCM of Denominators means LCM of 625,699 as per the given fractions.
LCM of 625,699 is 436875 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 218,987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 218,987 . The biggest common factor number is the GCF number.
So the greatest common factor 218,987 is 1.
Lets's calculate LCM of 625,699
Given numbers has no common factors except 1. So, there LCM is their product i.e 436875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/436875
Therefore, the GCF of Fractions 218/625,987/699 is 1/436875
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 625,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,699) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,699) x common factors =1 x 1 = 1
LCM(625,699) = ( 625 × 699 ) / 1
LCM(625,699) = 436875 / 1
LCM(625,699) = 436875
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 218/625, 987/699?
Answer: GCF of Numerators as per given numbers 218/625, 987/699 is
GCF of Numerators i.e. for 218,987 is 1
LCM of denominators i.e. for 625,699 is 436875.
Thus, GCF of Fractions is 1/436875.Finally, GCF of Fractions for 218/625, 987/699 is 1/436875.