Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 73/376,20/674,284/675
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 73,20,284
Greatest Common Factor of Numerators i.e. GCF of 73,20,284 is 1 .
LCM of Denominators means LCM of 376,674,675 as per the given fractions.
LCM of 376,674,675 is 85530600 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 73,20,284
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 73,20,284 . The biggest common factor number is the GCF number.
So the greatest common factor 73,20,284 is 1.
Lets's calculate LCM of 376,674,675
2 | 376, 674, 675 |
188, 337, 675 |
∴ So the LCM of the given numbers is 2 x 188 x 337 x 675 = 85530600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85530600
Therefore, the GCF of Fractions 73/376,20/674,284/675 is 1/85530600
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 376,674,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(376,674,675) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(376,674,675) x common factors =1 x 2 = 2
LCM(376,674,675) = ( 376 × 674 × 675 ) / 2
LCM(376,674,675) = 171061200 / 2
LCM(376,674,675) = 85530600
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 73/376, 20/674, 284/675?
Answer: GCF of Numerators as per given numbers 73/376, 20/674, 284/675 is
GCF of Numerators i.e. for 73,20,284 is 1
LCM of denominators i.e. for 376,674,675 is 85530600.
Thus, GCF of Fractions is 1/85530600.Finally, GCF of Fractions for 73/376, 20/674, 284/675 is 1/85530600.