Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2937/164,2395/360
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 2937,2395
Greatest Common Factor of Numerators i.e. GCF of 2937,2395 is 1 .
LCM of Denominators means LCM of 164,360 as per the given fractions.
LCM of 164,360 is 14760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2937,2395
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2937
List of positive integer factors of 2937 that divides 2937 without a remainder.
1,3,11,33,89,267,979,2937
Factors of 2395
List of positive integer factors of 2395 that divides 2395 without a remainder.
1,5,479,2395
Greatest Common Factor
We found the factors 2937,2395 . The biggest common factor number is the GCF number.
So the greatest common factor 2937,2395 is 1.
Lets's calculate LCM of 164,360
2 | 164, 360 |
2 | 82, 180 |
41, 90 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 90 = 14760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14760
Therefore, the GCF of Fractions 2937/164,2395/360 is 1/14760
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 164,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,360) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(164,360) x common factors =4 x 1 = 4
LCM(164,360) = ( 164 × 360 ) / 4
LCM(164,360) = 59040 / 4
LCM(164,360) = 14760
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 2937/164, 2395/360?
Answer: GCF of Numerators as per given numbers 2937/164, 2395/360 is
GCF of Numerators i.e. for 2937,2395 is 1
LCM of denominators i.e. for 164,360 is 14760.
Thus, GCF of Fractions is 1/14760.Finally, GCF of Fractions for 2937/164, 2395/360 is 1/14760.