Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 506/617,976/862
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 506,976
Greatest Common Factor of Numerators i.e. GCF of 506,976 is 2 .
LCM of Denominators means LCM of 617,862 as per the given fractions.
LCM of 617,862 is 531854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 506,976
2 | 506, 976 |
253, 488 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 506,976 . The biggest common factor number is the GCF number.
So the greatest common factor 506,976 is 2.
Lets's calculate LCM of 617,862
Given numbers has no common factors except 1. So, there LCM is their product i.e 531854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/531854
Therefore, the GCF of Fractions 506/617,976/862 is 2/531854
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 617,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,862) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,862) x common factors =1 x 1 = 1
LCM(617,862) = ( 617 × 862 ) / 1
LCM(617,862) = 531854 / 1
LCM(617,862) = 531854
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 506/617, 976/862?
Answer: GCF of Numerators as per given numbers 506/617, 976/862 is
GCF of Numerators i.e. for 506,976 is 2
LCM of denominators i.e. for 617,862 is 531854.
Thus, GCF of Fractions is 2/531854.Finally, GCF of Fractions for 506/617, 976/862 is 2/531854.