Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 322/187,4464/580
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 322,4464
Greatest Common Factor of Numerators i.e. GCF of 322,4464 is 2 .
LCM of Denominators means LCM of 187,580 as per the given fractions.
LCM of 187,580 is 108460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 322,4464
2 | 322, 4464 |
161, 2232 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 4464
List of positive integer factors of 4464 that divides 4464 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,31,36,48,62,72,93,124,144,186,248,279,372,496,558,744,1116,1488,2232,4464
Greatest Common Factor
We found the factors 322,4464 . The biggest common factor number is the GCF number.
So the greatest common factor 322,4464 is 2.
Lets's calculate LCM of 187,580
Given numbers has no common factors except 1. So, there LCM is their product i.e 108460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108460
Therefore, the GCF of Fractions 322/187,4464/580 is 2/108460
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 187,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(187,580) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(187,580) x common factors =1 x 1 = 1
LCM(187,580) = ( 187 × 580 ) / 1
LCM(187,580) = 108460 / 1
LCM(187,580) = 108460
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 322/187, 4464/580?
Answer: GCF of Numerators as per given numbers 322/187, 4464/580 is
GCF of Numerators i.e. for 322,4464 is 2
LCM of denominators i.e. for 187,580 is 108460.
Thus, GCF of Fractions is 2/108460.Finally, GCF of Fractions for 322/187, 4464/580 is 2/108460.