Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 555/683,1224/688
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 555,1224
Greatest Common Factor of Numerators i.e. GCF of 555,1224 is 3 .
LCM of Denominators means LCM of 683,688 as per the given fractions.
LCM of 683,688 is 469904 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 555,1224
3 | 555, 1224 |
185, 408 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 555
List of positive integer factors of 555 that divides 555 without a remainder.
1,3,5,15,37,111,185,555
Factors of 1224
List of positive integer factors of 1224 that divides 1224 without a remainder.
1,2,3,4,6,8,9,12,17,18,24,34,36,51,68,72,102,136,153,204,306,408,612,1224
Greatest Common Factor
We found the factors 555,1224 . The biggest common factor number is the GCF number.
So the greatest common factor 555,1224 is 3.
Lets's calculate LCM of 683,688
Given numbers has no common factors except 1. So, there LCM is their product i.e 469904
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/469904
Therefore, the GCF of Fractions 555/683,1224/688 is 3/469904
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 683,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(683,688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(683,688) x common factors =1 x 1 = 1
LCM(683,688) = ( 683 × 688 ) / 1
LCM(683,688) = 469904 / 1
LCM(683,688) = 469904
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 555/683, 1224/688?
Answer: GCF of Numerators as per given numbers 555/683, 1224/688 is
GCF of Numerators i.e. for 555,1224 is 3
LCM of denominators i.e. for 683,688 is 469904.
Thus, GCF of Fractions is 3/469904.Finally, GCF of Fractions for 555/683, 1224/688 is 3/469904.