Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6702/284,9356/9070
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 6702,9356
Greatest Common Factor of Numerators i.e. GCF of 6702,9356 is 2 .
LCM of Denominators means LCM of 284,9070 as per the given fractions.
LCM of 284,9070 is 1287940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6702,9356
2 | 6702, 9356 |
3351, 4678 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6702
List of positive integer factors of 6702 that divides 6702 without a remainder.
1,2,3,6,1117,2234,3351,6702
Factors of 9356
List of positive integer factors of 9356 that divides 9356 without a remainder.
1,2,4,2339,4678,9356
Greatest Common Factor
We found the factors 6702,9356 . The biggest common factor number is the GCF number.
So the greatest common factor 6702,9356 is 2.
Lets's calculate LCM of 284,9070
2 | 284, 9070 |
142, 4535 |
∴ So the LCM of the given numbers is 2 x 142 x 4535 = 1287940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1287940
Therefore, the GCF of Fractions 6702/284,9356/9070 is 2/1287940
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 284,9070 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,9070) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,9070) x common factors =2 x 1 = 2
LCM(284,9070) = ( 284 × 9070 ) / 2
LCM(284,9070) = 2575880 / 2
LCM(284,9070) = 1287940
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 6702/284, 9356/9070?
Answer: GCF of Numerators as per given numbers 6702/284, 9356/9070 is
GCF of Numerators i.e. for 6702,9356 is 2
LCM of denominators i.e. for 284,9070 is 1287940.
Thus, GCF of Fractions is 2/1287940.Finally, GCF of Fractions for 6702/284, 9356/9070 is 2/1287940.