Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 465/627,6293/853
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 465,6293
Greatest Common Factor of Numerators i.e. GCF of 465,6293 is 31 .
LCM of Denominators means LCM of 627,853 as per the given fractions.
LCM of 627,853 is 534831 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 465,6293
31 | 465, 6293 |
15, 203 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 6293
List of positive integer factors of 6293 that divides 6293 without a remainder.
1,7,29,31,203,217,899,6293
Greatest Common Factor
We found the factors 465,6293 . The biggest common factor number is the GCF number.
So the greatest common factor 465,6293 is 31.
Lets's calculate LCM of 627,853
Given numbers has no common factors except 1. So, there LCM is their product i.e 534831
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/534831
Therefore, the GCF of Fractions 465/627,6293/853 is 31/534831
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 627,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,853) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,853) x common factors =1 x 1 = 1
LCM(627,853) = ( 627 × 853 ) / 1
LCM(627,853) = 534831 / 1
LCM(627,853) = 534831
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 465/627, 6293/853?
Answer: GCF of Numerators as per given numbers 465/627, 6293/853 is
GCF of Numerators i.e. for 465,6293 is 31
LCM of denominators i.e. for 627,853 is 534831.
Thus, GCF of Fractions is 31/534831.Finally, GCF of Fractions for 465/627, 6293/853 is 31/534831.