Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 436/34,2190/274
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 436,2190
Greatest Common Factor of Numerators i.e. GCF of 436,2190 is 2 .
LCM of Denominators means LCM of 34,274 as per the given fractions.
LCM of 34,274 is 4658 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 436,2190
2 | 436, 2190 |
218, 1095 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 436
List of positive integer factors of 436 that divides 436 without a remainder.
1,2,4,109,218,436
Factors of 2190
List of positive integer factors of 2190 that divides 2190 without a remainder.
1,2,3,5,6,10,15,30,73,146,219,365,438,730,1095,2190
Greatest Common Factor
We found the factors 436,2190 . The biggest common factor number is the GCF number.
So the greatest common factor 436,2190 is 2.
Lets's calculate LCM of 34,274
2 | 34, 274 |
17, 137 |
∴ So the LCM of the given numbers is 2 x 17 x 137 = 4658
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4658
Therefore, the GCF of Fractions 436/34,2190/274 is 2/4658
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 34,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,274) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(34,274) x common factors =2 x 1 = 2
LCM(34,274) = ( 34 × 274 ) / 2
LCM(34,274) = 9316 / 2
LCM(34,274) = 4658
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 436/34, 2190/274?
Answer: GCF of Numerators as per given numbers 436/34, 2190/274 is
GCF of Numerators i.e. for 436,2190 is 2
LCM of denominators i.e. for 34,274 is 4658.
Thus, GCF of Fractions is 2/4658.Finally, GCF of Fractions for 436/34, 2190/274 is 2/4658.