Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6928/454,8056/237
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 6928,8056
Greatest Common Factor of Numerators i.e. GCF of 6928,8056 is 8 .
LCM of Denominators means LCM of 454,237 as per the given fractions.
LCM of 454,237 is 107598 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6928,8056
2 | 6928, 8056 |
2 | 3464, 4028 |
2 | 1732, 2014 |
866, 1007 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 6928
List of positive integer factors of 6928 that divides 6928 without a remainder.
1,2,4,8,16,433,866,1732,3464,6928
Factors of 8056
List of positive integer factors of 8056 that divides 8056 without a remainder.
1,2,4,8,19,38,53,76,106,152,212,424,1007,2014,4028,8056
Greatest Common Factor
We found the factors 6928,8056 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,8056 is 8.
Lets's calculate LCM of 454,237
Given numbers has no common factors except 1. So, there LCM is their product i.e 107598
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/107598
Therefore, the GCF of Fractions 6928/454,8056/237 is 8/107598
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 454,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,237) x common factors =1 x 1 = 1
LCM(454,237) = ( 454 × 237 ) / 1
LCM(454,237) = 107598 / 1
LCM(454,237) = 107598
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 6928/454, 8056/237?
Answer: GCF of Numerators as per given numbers 6928/454, 8056/237 is
GCF of Numerators i.e. for 6928,8056 is 8
LCM of denominators i.e. for 454,237 is 107598.
Thus, GCF of Fractions is 8/107598.Finally, GCF of Fractions for 6928/454, 8056/237 is 8/107598.