Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 665/376,162/107,772/107
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 665,162,772
Greatest Common Factor of Numerators i.e. GCF of 665,162,772 is 1 .
LCM of Denominators means LCM of 376,107,107 as per the given fractions.
LCM of 376,107,107 is 40232 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 665,162,772
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 665,162,772 . The biggest common factor number is the GCF number.
So the greatest common factor 665,162,772 is 1.
Lets's calculate LCM of 376,107,107
107 | 376, 107, 107 |
376, 1, 1 |
∴ So the LCM of the given numbers is 107 x 376 x 1 x 1 = 40232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40232
Therefore, the GCF of Fractions 665/376,162/107,772/107 is 1/40232
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 376,107,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,107,107) = 1
common factors(in case of two or more numbers have common factors) = 107
GCF(376,107,107) x common factors =1 x 107 = 107
LCM(376,107,107) = ( 376 × 107 × 107 ) / 107
LCM(376,107,107) = 4304824 / 107
LCM(376,107,107) = 40232
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 665/376, 162/107, 772/107?
Answer: GCF of Numerators as per given numbers 665/376, 162/107, 772/107 is
GCF of Numerators i.e. for 665,162,772 is 1
LCM of denominators i.e. for 376,107,107 is 40232.
Thus, GCF of Fractions is 1/40232.Finally, GCF of Fractions for 665/376, 162/107, 772/107 is 1/40232.