Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 589/172,7161/1474
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 589,7161
Greatest Common Factor of Numerators i.e. GCF of 589,7161 is 31 .
LCM of Denominators means LCM of 172,1474 as per the given fractions.
LCM of 172,1474 is 126764 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 589,7161
31 | 589, 7161 |
19, 231 |
∴ So the GCF of the given numbers is 31 = 31
Factors of 589
List of positive integer factors of 589 that divides 589 without a remainder.
1,19,31,589
Factors of 7161
List of positive integer factors of 7161 that divides 7161 without a remainder.
1,3,7,11,21,31,33,77,93,217,231,341,651,1023,2387,7161
Greatest Common Factor
We found the factors 589,7161 . The biggest common factor number is the GCF number.
So the greatest common factor 589,7161 is 31.
Lets's calculate LCM of 172,1474
2 | 172, 1474 |
86, 737 |
∴ So the LCM of the given numbers is 2 x 86 x 737 = 126764
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/126764
Therefore, the GCF of Fractions 589/172,7161/1474 is 31/126764
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 172,1474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,1474) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,1474) x common factors =2 x 1 = 2
LCM(172,1474) = ( 172 × 1474 ) / 2
LCM(172,1474) = 253528 / 2
LCM(172,1474) = 126764
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 589/172, 7161/1474?
Answer: GCF of Numerators as per given numbers 589/172, 7161/1474 is
GCF of Numerators i.e. for 589,7161 is 31
LCM of denominators i.e. for 172,1474 is 126764.
Thus, GCF of Fractions is 31/126764.Finally, GCF of Fractions for 589/172, 7161/1474 is 31/126764.