Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9723/90,2667/949
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 9723,2667
Greatest Common Factor of Numerators i.e. GCF of 9723,2667 is 21 .
LCM of Denominators means LCM of 90,949 as per the given fractions.
LCM of 90,949 is 85410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9723,2667
3 | 9723, 2667 |
7 | 3241, 889 |
463, 127 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 9723
List of positive integer factors of 9723 that divides 9723 without a remainder.
1,3,7,21,463,1389,3241,9723
Factors of 2667
List of positive integer factors of 2667 that divides 2667 without a remainder.
1,3,7,21,127,381,889,2667
Greatest Common Factor
We found the factors 9723,2667 . The biggest common factor number is the GCF number.
So the greatest common factor 9723,2667 is 21.
Lets's calculate LCM of 90,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 85410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/85410
Therefore, the GCF of Fractions 9723/90,2667/949 is 21/85410
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 90,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(90,949) x common factors =1 x 1 = 1
LCM(90,949) = ( 90 × 949 ) / 1
LCM(90,949) = 85410 / 1
LCM(90,949) = 85410
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 9723/90, 2667/949?
Answer: GCF of Numerators as per given numbers 9723/90, 2667/949 is
GCF of Numerators i.e. for 9723,2667 is 21
LCM of denominators i.e. for 90,949 is 85410.
Thus, GCF of Fractions is 21/85410.Finally, GCF of Fractions for 9723/90, 2667/949 is 21/85410.