Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 462/820,3575/167
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 462,3575
Greatest Common Factor of Numerators i.e. GCF of 462,3575 is 11 .
LCM of Denominators means LCM of 820,167 as per the given fractions.
LCM of 820,167 is 136940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 462,3575
11 | 462, 3575 |
42, 325 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 3575
List of positive integer factors of 3575 that divides 3575 without a remainder.
1,5,11,13,25,55,65,143,275,325,715,3575
Greatest Common Factor
We found the factors 462,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 462,3575 is 11.
Lets's calculate LCM of 820,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 136940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/136940
Therefore, the GCF of Fractions 462/820,3575/167 is 11/136940
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 820,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(820,167) x common factors =1 x 1 = 1
LCM(820,167) = ( 820 × 167 ) / 1
LCM(820,167) = 136940 / 1
LCM(820,167) = 136940
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 462/820, 3575/167?
Answer: GCF of Numerators as per given numbers 462/820, 3575/167 is
GCF of Numerators i.e. for 462,3575 is 11
LCM of denominators i.e. for 820,167 is 136940.
Thus, GCF of Fractions is 11/136940.Finally, GCF of Fractions for 462/820, 3575/167 is 11/136940.