Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 563/82,877/68,746/966
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 563,877,746
Greatest Common Factor of Numerators i.e. GCF of 563,877,746 is 1 .
LCM of Denominators means LCM of 82,68,966 as per the given fractions.
LCM of 82,68,966 is 1346604 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 563,877,746
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1,877
Factors of 746
List of positive integer factors of 746 that divides 746 without a remainder.
1,2,373,746
Greatest Common Factor
We found the factors 563,877,746 . The biggest common factor number is the GCF number.
So the greatest common factor 563,877,746 is 1.
Lets's calculate LCM of 82,68,966
2 | 82, 68, 966 |
41, 34, 483 |
∴ So the LCM of the given numbers is 2 x 41 x 34 x 483 = 1346604
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1346604
Therefore, the GCF of Fractions 563/82,877/68,746/966 is 1/1346604
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 82,68,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,68,966) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(82,68,966) x common factors =2 x 2 = 4
LCM(82,68,966) = ( 82 × 68 × 966 ) / 4
LCM(82,68,966) = 5386416 / 4
LCM(82,68,966) = 1346604
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 563/82, 877/68, 746/966?
Answer: GCF of Numerators as per given numbers 563/82, 877/68, 746/966 is
GCF of Numerators i.e. for 563,877,746 is 1
LCM of denominators i.e. for 82,68,966 is 1346604.
Thus, GCF of Fractions is 1/1346604.Finally, GCF of Fractions for 563/82, 877/68, 746/966 is 1/1346604.