Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 63/376,101/831,732/235
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 63,101,732
Greatest Common Factor of Numerators i.e. GCF of 63,101,732 is 1 .
LCM of Denominators means LCM of 376,831,235 as per the given fractions.
LCM of 376,831,235 is 1562280 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 63,101,732
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Greatest Common Factor
We found the factors 63,101,732 . The biggest common factor number is the GCF number.
So the greatest common factor 63,101,732 is 1.
Lets's calculate LCM of 376,831,235
47 | 376, 831, 235 |
8, 831, 5 |
∴ So the LCM of the given numbers is 47 x 8 x 831 x 5 = 1562280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1562280
Therefore, the GCF of Fractions 63/376,101/831,732/235 is 1/1562280
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 376,831,235 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,831,235) = 1
common factors(in case of two or more numbers have common factors) = 47
GCF(376,831,235) x common factors =1 x 47 = 47
LCM(376,831,235) = ( 376 × 831 × 235 ) / 47
LCM(376,831,235) = 73427160 / 47
LCM(376,831,235) = 1562280
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 63/376, 101/831, 732/235?
Answer: GCF of Numerators as per given numbers 63/376, 101/831, 732/235 is
GCF of Numerators i.e. for 63,101,732 is 1
LCM of denominators i.e. for 376,831,235 is 1562280.
Thus, GCF of Fractions is 1/1562280.Finally, GCF of Fractions for 63/376, 101/831, 732/235 is 1/1562280.