Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 886/89,567/73,283/617
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 886,567,283
Greatest Common Factor of Numerators i.e. GCF of 886,567,283 is 1 .
LCM of Denominators means LCM of 89,73,617 as per the given fractions.
LCM of 89,73,617 is 4008649 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 886,567,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 886,567,283 . The biggest common factor number is the GCF number.
So the greatest common factor 886,567,283 is 1.
Lets's calculate LCM of 89,73,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 4008649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4008649
Therefore, the GCF of Fractions 886/89,567/73,283/617 is 1/4008649
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 89,73,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,73,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,73,617) x common factors =1 x 1 = 1
LCM(89,73,617) = ( 89 × 73 × 617 ) / 1
LCM(89,73,617) = 4008649 / 1
LCM(89,73,617) = 4008649
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 886/89, 567/73, 283/617?
Answer: GCF of Numerators as per given numbers 886/89, 567/73, 283/617 is
GCF of Numerators i.e. for 886,567,283 is 1
LCM of denominators i.e. for 89,73,617 is 4008649.
Thus, GCF of Fractions is 1/4008649.Finally, GCF of Fractions for 886/89, 567/73, 283/617 is 1/4008649.