Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 309/76,826/28,742/247
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 309,826,742
Greatest Common Factor of Numerators i.e. GCF of 309,826,742 is 1 .
LCM of Denominators means LCM of 76,28,247 as per the given fractions.
LCM of 76,28,247 is 6916 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 309,826,742
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Factors of 826
List of positive integer factors of 826 that divides 826 without a remainder.
1,2,7,14,59,118,413,826
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 309,826,742 . The biggest common factor number is the GCF number.
So the greatest common factor 309,826,742 is 1.
Lets's calculate LCM of 76,28,247
2 | 76, 28, 247 |
2 | 38, 14, 247 |
19 | 19, 7, 247 |
1, 7, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 7 x 13 = 6916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6916
Therefore, the GCF of Fractions 309/76,826/28,742/247 is 1/6916
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 76,28,247 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,28,247) = 1
common factors(in case of two or more numbers have common factors) = 76
GCF(76,28,247) x common factors =1 x 76 = 76
LCM(76,28,247) = ( 76 × 28 × 247 ) / 76
LCM(76,28,247) = 525616 / 76
LCM(76,28,247) = 6916
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 309/76, 826/28, 742/247?
Answer: GCF of Numerators as per given numbers 309/76, 826/28, 742/247 is
GCF of Numerators i.e. for 309,826,742 is 1
LCM of denominators i.e. for 76,28,247 is 6916.
Thus, GCF of Fractions is 1/6916.Finally, GCF of Fractions for 309/76, 826/28, 742/247 is 1/6916.