Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 662/492,4451/2338
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 662,4451
Greatest Common Factor of Numerators i.e. GCF of 662,4451 is 1 .
LCM of Denominators means LCM of 492,2338 as per the given fractions.
LCM of 492,2338 is 575148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 662,4451
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 4451
List of positive integer factors of 4451 that divides 4451 without a remainder.
1,4451
Greatest Common Factor
We found the factors 662,4451 . The biggest common factor number is the GCF number.
So the greatest common factor 662,4451 is 1.
Lets's calculate LCM of 492,2338
2 | 492, 2338 |
246, 1169 |
∴ So the LCM of the given numbers is 2 x 246 x 1169 = 575148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/575148
Therefore, the GCF of Fractions 662/492,4451/2338 is 1/575148
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 492,2338 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,2338) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(492,2338) x common factors =2 x 1 = 2
LCM(492,2338) = ( 492 × 2338 ) / 2
LCM(492,2338) = 1150296 / 2
LCM(492,2338) = 575148
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 662/492, 4451/2338?
Answer: GCF of Numerators as per given numbers 662/492, 4451/2338 is
GCF of Numerators i.e. for 662,4451 is 1
LCM of denominators i.e. for 492,2338 is 575148.
Thus, GCF of Fractions is 1/575148.Finally, GCF of Fractions for 662/492, 4451/2338 is 1/575148.