Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8509/160,3292/6323
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 8509,3292
Greatest Common Factor of Numerators i.e. GCF of 8509,3292 is 1 .
LCM of Denominators means LCM of 160,6323 as per the given fractions.
LCM of 160,6323 is 1011680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8509,3292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8509
List of positive integer factors of 8509 that divides 8509 without a remainder.
1,67,127,8509
Factors of 3292
List of positive integer factors of 3292 that divides 3292 without a remainder.
1,2,4,823,1646,3292
Greatest Common Factor
We found the factors 8509,3292 . The biggest common factor number is the GCF number.
So the greatest common factor 8509,3292 is 1.
Lets's calculate LCM of 160,6323
Given numbers has no common factors except 1. So, there LCM is their product i.e 1011680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1011680
Therefore, the GCF of Fractions 8509/160,3292/6323 is 1/1011680
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 160,6323 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,6323) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(160,6323) x common factors =1 x 1 = 1
LCM(160,6323) = ( 160 × 6323 ) / 1
LCM(160,6323) = 1011680 / 1
LCM(160,6323) = 1011680
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 8509/160, 3292/6323?
Answer: GCF of Numerators as per given numbers 8509/160, 3292/6323 is
GCF of Numerators i.e. for 8509,3292 is 1
LCM of denominators i.e. for 160,6323 is 1011680.
Thus, GCF of Fractions is 1/1011680.Finally, GCF of Fractions for 8509/160, 3292/6323 is 1/1011680.