Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 654/422,5855/603
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 654,5855
Greatest Common Factor of Numerators i.e. GCF of 654,5855 is 1 .
LCM of Denominators means LCM of 422,603 as per the given fractions.
LCM of 422,603 is 254466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 654,5855
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 654
List of positive integer factors of 654 that divides 654 without a remainder.
1,2,3,6,109,218,327,654
Factors of 5855
List of positive integer factors of 5855 that divides 5855 without a remainder.
1,5,1171,5855
Greatest Common Factor
We found the factors 654,5855 . The biggest common factor number is the GCF number.
So the greatest common factor 654,5855 is 1.
Lets's calculate LCM of 422,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 254466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/254466
Therefore, the GCF of Fractions 654/422,5855/603 is 1/254466
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 422,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(422,603) x common factors =1 x 1 = 1
LCM(422,603) = ( 422 × 603 ) / 1
LCM(422,603) = 254466 / 1
LCM(422,603) = 254466
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 654/422, 5855/603?
Answer: GCF of Numerators as per given numbers 654/422, 5855/603 is
GCF of Numerators i.e. for 654,5855 is 1
LCM of denominators i.e. for 422,603 is 254466.
Thus, GCF of Fractions is 1/254466.Finally, GCF of Fractions for 654/422, 5855/603 is 1/254466.