Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 169/766,2652/599
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 169,2652
Greatest Common Factor of Numerators i.e. GCF of 169,2652 is 13 .
LCM of Denominators means LCM of 766,599 as per the given fractions.
LCM of 766,599 is 458834 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 169,2652
13 | 169, 2652 |
13, 204 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 2652
List of positive integer factors of 2652 that divides 2652 without a remainder.
1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Greatest Common Factor
We found the factors 169,2652 . The biggest common factor number is the GCF number.
So the greatest common factor 169,2652 is 13.
Lets's calculate LCM of 766,599
Given numbers has no common factors except 1. So, there LCM is their product i.e 458834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/458834
Therefore, the GCF of Fractions 169/766,2652/599 is 13/458834
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 766,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,599) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(766,599) x common factors =1 x 1 = 1
LCM(766,599) = ( 766 × 599 ) / 1
LCM(766,599) = 458834 / 1
LCM(766,599) = 458834
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 169/766, 2652/599?
Answer: GCF of Numerators as per given numbers 169/766, 2652/599 is
GCF of Numerators i.e. for 169,2652 is 13
LCM of denominators i.e. for 766,599 is 458834.
Thus, GCF of Fractions is 13/458834.Finally, GCF of Fractions for 169/766, 2652/599 is 13/458834.