Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 732/830,474/143
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 732,474
Greatest Common Factor of Numerators i.e. GCF of 732,474 is 6 .
LCM of Denominators means LCM of 830,143 as per the given fractions.
LCM of 830,143 is 118690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 732,474
2 | 732, 474 |
3 | 366, 237 |
122, 79 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 732
List of positive integer factors of 732 that divides 732 without a remainder.
1,2,3,4,6,12,61,122,183,244,366,732
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 732,474 . The biggest common factor number is the GCF number.
So the greatest common factor 732,474 is 6.
Lets's calculate LCM of 830,143
Given numbers has no common factors except 1. So, there LCM is their product i.e 118690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/118690
Therefore, the GCF of Fractions 732/830,474/143 is 6/118690
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 830,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(830,143) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(830,143) x common factors =1 x 1 = 1
LCM(830,143) = ( 830 × 143 ) / 1
LCM(830,143) = 118690 / 1
LCM(830,143) = 118690
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 732/830, 474/143?
Answer: GCF of Numerators as per given numbers 732/830, 474/143 is
GCF of Numerators i.e. for 732,474 is 6
LCM of denominators i.e. for 830,143 is 118690.
Thus, GCF of Fractions is 6/118690.Finally, GCF of Fractions for 732/830, 474/143 is 6/118690.