Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/267,678/318,796/349
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 716,678,796
Greatest Common Factor of Numerators i.e. GCF of 716,678,796 is 2 .
LCM of Denominators means LCM of 267,318,349 as per the given fractions.
LCM of 267,318,349 is 9877398 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 716,678,796
2 | 716, 678, 796 |
358, 339, 398 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 678
List of positive integer factors of 678 that divides 678 without a remainder.
1,2,3,6,113,226,339,678
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 716,678,796 . The biggest common factor number is the GCF number.
So the greatest common factor 716,678,796 is 2.
Lets's calculate LCM of 267,318,349
3 | 267, 318, 349 |
89, 106, 349 |
∴ So the LCM of the given numbers is 3 x 89 x 106 x 349 = 9877398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9877398
Therefore, the GCF of Fractions 716/267,678/318,796/349 is 2/9877398
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 267,318,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,318,349) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(267,318,349) x common factors =1 x 3 = 3
LCM(267,318,349) = ( 267 × 318 × 349 ) / 3
LCM(267,318,349) = 29632194 / 3
LCM(267,318,349) = 9877398
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 716/267, 678/318, 796/349?
Answer: GCF of Numerators as per given numbers 716/267, 678/318, 796/349 is
GCF of Numerators i.e. for 716,678,796 is 2
LCM of denominators i.e. for 267,318,349 is 9877398.
Thus, GCF of Fractions is 2/9877398.Finally, GCF of Fractions for 716/267, 678/318, 796/349 is 2/9877398.