Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 368/624,8712/433
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 368,8712
Greatest Common Factor of Numerators i.e. GCF of 368,8712 is 8 .
LCM of Denominators means LCM of 624,433 as per the given fractions.
LCM of 624,433 is 270192 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 368,8712
2 | 368, 8712 |
2 | 184, 4356 |
2 | 92, 2178 |
46, 1089 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Factors of 368
List of positive integer factors of 368 that divides 368 without a remainder.
1,2,4,8,16,23,46,92,184,368
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 368,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 368,8712 is 8.
Lets's calculate LCM of 624,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 270192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/270192
Therefore, the GCF of Fractions 368/624,8712/433 is 8/270192
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 624,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,433) x common factors =1 x 1 = 1
LCM(624,433) = ( 624 × 433 ) / 1
LCM(624,433) = 270192 / 1
LCM(624,433) = 270192
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 368/624, 8712/433?
Answer: GCF of Numerators as per given numbers 368/624, 8712/433 is
GCF of Numerators i.e. for 368,8712 is 8
LCM of denominators i.e. for 624,433 is 270192.
Thus, GCF of Fractions is 8/270192.Finally, GCF of Fractions for 368/624, 8712/433 is 8/270192.