Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8968/261,8926/668
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 8968,8926
Greatest Common Factor of Numerators i.e. GCF of 8968,8926 is 2 .
LCM of Denominators means LCM of 261,668 as per the given fractions.
LCM of 261,668 is 174348 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8968,8926
2 | 8968, 8926 |
4484, 4463 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8968
List of positive integer factors of 8968 that divides 8968 without a remainder.
1,2,4,8,19,38,59,76,118,152,236,472,1121,2242,4484,8968
Factors of 8926
List of positive integer factors of 8926 that divides 8926 without a remainder.
1,2,4463,8926
Greatest Common Factor
We found the factors 8968,8926 . The biggest common factor number is the GCF number.
So the greatest common factor 8968,8926 is 2.
Lets's calculate LCM of 261,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 174348
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/174348
Therefore, the GCF of Fractions 8968/261,8926/668 is 2/174348
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 261,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,668) x common factors =1 x 1 = 1
LCM(261,668) = ( 261 × 668 ) / 1
LCM(261,668) = 174348 / 1
LCM(261,668) = 174348
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 8968/261, 8926/668?
Answer: GCF of Numerators as per given numbers 8968/261, 8926/668 is
GCF of Numerators i.e. for 8968,8926 is 2
LCM of denominators i.e. for 261,668 is 174348.
Thus, GCF of Fractions is 2/174348.Finally, GCF of Fractions for 8968/261, 8926/668 is 2/174348.