Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/872,6826/3840
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 716,6826
Greatest Common Factor of Numerators i.e. GCF of 716,6826 is 2 .
LCM of Denominators means LCM of 872,3840 as per the given fractions.
LCM of 872,3840 is 418560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 716,6826
2 | 716, 6826 |
358, 3413 |
∴ 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 6826
List of positive integer factors of 6826 that divides 6826 without a remainder.
1,2,3413,6826
Greatest Common Factor
We found the factors 716,6826 . The biggest common factor number is the GCF number.
So the greatest common factor 716,6826 is 2.
Lets's calculate LCM of 872,3840
2 | 872, 3840 |
2 | 436, 1920 |
2 | 218, 960 |
109, 480 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 480 = 418560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/418560
Therefore, the GCF of Fractions 716/872,6826/3840 is 2/418560
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 872,3840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,3840) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(872,3840) x common factors =8 x 1 = 8
LCM(872,3840) = ( 872 × 3840 ) / 8
LCM(872,3840) = 3348480 / 8
LCM(872,3840) = 418560
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 716/872, 6826/3840?
Answer: GCF of Numerators as per given numbers 716/872, 6826/3840 is
GCF of Numerators i.e. for 716,6826 is 2
LCM of denominators i.e. for 872,3840 is 418560.
Thus, GCF of Fractions is 2/418560.Finally, GCF of Fractions for 716/872, 6826/3840 is 2/418560.