Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 518/67,145/53,989/525
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 518,145,989
Greatest Common Factor of Numerators i.e. GCF of 518,145,989 is 1 .
LCM of Denominators means LCM of 67,53,525 as per the given fractions.
LCM of 67,53,525 is 1864275 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 518,145,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 518,145,989 . The biggest common factor number is the GCF number.
So the greatest common factor 518,145,989 is 1.
Lets's calculate LCM of 67,53,525
Given numbers has no common factors except 1. So, there LCM is their product i.e 1864275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1864275
Therefore, the GCF of Fractions 518/67,145/53,989/525 is 1/1864275
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 67,53,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,53,525) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,53,525) x common factors =1 x 1 = 1
LCM(67,53,525) = ( 67 × 53 × 525 ) / 1
LCM(67,53,525) = 1864275 / 1
LCM(67,53,525) = 1864275
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 518/67, 145/53, 989/525?
Answer: GCF of Numerators as per given numbers 518/67, 145/53, 989/525 is
GCF of Numerators i.e. for 518,145,989 is 1
LCM of denominators i.e. for 67,53,525 is 1864275.
Thus, GCF of Fractions is 1/1864275.Finally, GCF of Fractions for 518/67, 145/53, 989/525 is 1/1864275.