Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8132/23,8712/332
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 8132,8712
Greatest Common Factor of Numerators i.e. GCF of 8132,8712 is 4 .
LCM of Denominators means LCM of 23,332 as per the given fractions.
LCM of 23,332 is 7636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8132,8712
2 | 8132, 8712 |
2 | 4066, 4356 |
2033, 2178 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8132
List of positive integer factors of 8132 that divides 8132 without a remainder.
1,2,4,19,38,76,107,214,428,2033,4066,8132
Factors of 8712
List of positive integer factors of 8712 that divides 8712 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712
Greatest Common Factor
We found the factors 8132,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 8132,8712 is 4.
Lets's calculate LCM of 23,332
Given numbers has no common factors except 1. So, there LCM is their product i.e 7636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7636
Therefore, the GCF of Fractions 8132/23,8712/332 is 4/7636
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 23,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,332) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,332) x common factors =1 x 1 = 1
LCM(23,332) = ( 23 × 332 ) / 1
LCM(23,332) = 7636 / 1
LCM(23,332) = 7636
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 8132/23, 8712/332?
Answer: GCF of Numerators as per given numbers 8132/23, 8712/332 is
GCF of Numerators i.e. for 8132,8712 is 4
LCM of denominators i.e. for 23,332 is 7636.
Thus, GCF of Fractions is 4/7636.Finally, GCF of Fractions for 8132/23, 8712/332 is 4/7636.