Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/349,963/427
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 879,963
Greatest Common Factor of Numerators i.e. GCF of 879,963 is 3 .
LCM of Denominators means LCM of 349,427 as per the given fractions.
LCM of 349,427 is 149023 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,963
3 | 879, 963 |
293, 321 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 879,963 . The biggest common factor number is the GCF number.
So the greatest common factor 879,963 is 3.
Lets's calculate LCM of 349,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 149023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149023
Therefore, the GCF of Fractions 879/349,963/427 is 3/149023
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 349,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,427) x common factors =1 x 1 = 1
LCM(349,427) = ( 349 × 427 ) / 1
LCM(349,427) = 149023 / 1
LCM(349,427) = 149023
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 879/349, 963/427?
Answer: GCF of Numerators as per given numbers 879/349, 963/427 is
GCF of Numerators i.e. for 879,963 is 3
LCM of denominators i.e. for 349,427 is 149023.
Thus, GCF of Fractions is 3/149023.Finally, GCF of Fractions for 879/349, 963/427 is 3/149023.