Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8674/150,6703/905
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 8674,6703
Greatest Common Factor of Numerators i.e. GCF of 8674,6703 is 1 .
LCM of Denominators means LCM of 150,905 as per the given fractions.
LCM of 150,905 is 27150 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8674,6703
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8674
List of positive integer factors of 8674 that divides 8674 without a remainder.
1,2,4337,8674
Factors of 6703
List of positive integer factors of 6703 that divides 6703 without a remainder.
1,6703
Greatest Common Factor
We found the factors 8674,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 8674,6703 is 1.
Lets's calculate LCM of 150,905
5 | 150, 905 |
30, 181 |
∴ So the LCM of the given numbers is 5 x 30 x 181 = 27150
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27150
Therefore, the GCF of Fractions 8674/150,6703/905 is 1/27150
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 150,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(150,905) x common factors =5 x 1 = 5
LCM(150,905) = ( 150 × 905 ) / 5
LCM(150,905) = 135750 / 5
LCM(150,905) = 27150
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 8674/150, 6703/905?
Answer: GCF of Numerators as per given numbers 8674/150, 6703/905 is
GCF of Numerators i.e. for 8674,6703 is 1
LCM of denominators i.e. for 150,905 is 27150.
Thus, GCF of Fractions is 1/27150.Finally, GCF of Fractions for 8674/150, 6703/905 is 1/27150.