Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3406/92,2454/229
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 3406,2454
Greatest Common Factor of Numerators i.e. GCF of 3406,2454 is 2 .
LCM of Denominators means LCM of 92,229 as per the given fractions.
LCM of 92,229 is 21068 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3406,2454
2 | 3406, 2454 |
1703, 1227 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3406
List of positive integer factors of 3406 that divides 3406 without a remainder.
1,2,13,26,131,262,1703,3406
Factors of 2454
List of positive integer factors of 2454 that divides 2454 without a remainder.
1,2,3,6,409,818,1227,2454
Greatest Common Factor
We found the factors 3406,2454 . The biggest common factor number is the GCF number.
So the greatest common factor 3406,2454 is 2.
Lets's calculate LCM of 92,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 21068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21068
Therefore, the GCF of Fractions 3406/92,2454/229 is 2/21068
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 92,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,229) x common factors =1 x 1 = 1
LCM(92,229) = ( 92 × 229 ) / 1
LCM(92,229) = 21068 / 1
LCM(92,229) = 21068
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 3406/92, 2454/229?
Answer: GCF of Numerators as per given numbers 3406/92, 2454/229 is
GCF of Numerators i.e. for 3406,2454 is 2
LCM of denominators i.e. for 92,229 is 21068.
Thus, GCF of Fractions is 2/21068.Finally, GCF of Fractions for 3406/92, 2454/229 is 2/21068.