Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7578/23,8236/542
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 7578,8236
Greatest Common Factor of Numerators i.e. GCF of 7578,8236 is 2 .
LCM of Denominators means LCM of 23,542 as per the given fractions.
LCM of 23,542 is 12466 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7578,8236
2 | 7578, 8236 |
3789, 4118 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7578
List of positive integer factors of 7578 that divides 7578 without a remainder.
1,2,3,6,9,18,421,842,1263,2526,3789,7578
Factors of 8236
List of positive integer factors of 8236 that divides 8236 without a remainder.
1,2,4,29,58,71,116,142,284,2059,4118,8236
Greatest Common Factor
We found the factors 7578,8236 . The biggest common factor number is the GCF number.
So the greatest common factor 7578,8236 is 2.
Lets's calculate LCM of 23,542
Given numbers has no common factors except 1. So, there LCM is their product i.e 12466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12466
Therefore, the GCF of Fractions 7578/23,8236/542 is 2/12466
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 23,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,542) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,542) x common factors =1 x 1 = 1
LCM(23,542) = ( 23 × 542 ) / 1
LCM(23,542) = 12466 / 1
LCM(23,542) = 12466
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 7578/23, 8236/542?
Answer: GCF of Numerators as per given numbers 7578/23, 8236/542 is
GCF of Numerators i.e. for 7578,8236 is 2
LCM of denominators i.e. for 23,542 is 12466.
Thus, GCF of Fractions is 2/12466.Finally, GCF of Fractions for 7578/23, 8236/542 is 2/12466.