Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3276/25,6815/162
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 3276,6815
Greatest Common Factor of Numerators i.e. GCF of 3276,6815 is 1 .
LCM of Denominators means LCM of 25,162 as per the given fractions.
LCM of 25,162 is 4050 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3276,6815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3276
List of positive integer factors of 3276 that divides 3276 without a remainder.
1,2,3,4,6,7,9,12,13,14,18,21,26,28,36,39,42,52,63,78,84,91,117,126,156,182,234,252,273,364,468,546,819,1092,1638,3276
Factors of 6815
List of positive integer factors of 6815 that divides 6815 without a remainder.
1,5,29,47,145,235,1363,6815
Greatest Common Factor
We found the factors 3276,6815 . The biggest common factor number is the GCF number.
So the greatest common factor 3276,6815 is 1.
Lets's calculate LCM of 25,162
Given numbers has no common factors except 1. So, there LCM is their product i.e 4050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4050
Therefore, the GCF of Fractions 3276/25,6815/162 is 1/4050
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 25,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,162) x common factors =1 x 1 = 1
LCM(25,162) = ( 25 × 162 ) / 1
LCM(25,162) = 4050 / 1
LCM(25,162) = 4050
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 3276/25, 6815/162?
Answer: GCF of Numerators as per given numbers 3276/25, 6815/162 is
GCF of Numerators i.e. for 3276,6815 is 1
LCM of denominators i.e. for 25,162 is 4050.
Thus, GCF of Fractions is 1/4050.Finally, GCF of Fractions for 3276/25, 6815/162 is 1/4050.