Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 370/29,326/9980
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 370,326
Greatest Common Factor of Numerators i.e. GCF of 370,326 is 2 .
LCM of Denominators means LCM of 29,9980 as per the given fractions.
LCM of 29,9980 is 289420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 370,326
2 | 370, 326 |
185, 163 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 370
List of positive integer factors of 370 that divides 370 without a remainder.
1,2,5,10,37,74,185,370
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 370,326 . The biggest common factor number is the GCF number.
So the greatest common factor 370,326 is 2.
Lets's calculate LCM of 29,9980
Given numbers has no common factors except 1. So, there LCM is their product i.e 289420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/289420
Therefore, the GCF of Fractions 370/29,326/9980 is 2/289420
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 29,9980 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,9980) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,9980) x common factors =1 x 1 = 1
LCM(29,9980) = ( 29 × 9980 ) / 1
LCM(29,9980) = 289420 / 1
LCM(29,9980) = 289420
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 370/29, 326/9980?
Answer: GCF of Numerators as per given numbers 370/29, 326/9980 is
GCF of Numerators i.e. for 370,326 is 2
LCM of denominators i.e. for 29,9980 is 289420.
Thus, GCF of Fractions is 2/289420.Finally, GCF of Fractions for 370/29, 326/9980 is 2/289420.