Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 453/292,3435/5638
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 453,3435
Greatest Common Factor of Numerators i.e. GCF of 453,3435 is 3 .
LCM of Denominators means LCM of 292,5638 as per the given fractions.
LCM of 292,5638 is 823148 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 453,3435
3 | 453, 3435 |
151, 1145 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 3435
List of positive integer factors of 3435 that divides 3435 without a remainder.
1,3,5,15,229,687,1145,3435
Greatest Common Factor
We found the factors 453,3435 . The biggest common factor number is the GCF number.
So the greatest common factor 453,3435 is 3.
Lets's calculate LCM of 292,5638
2 | 292, 5638 |
146, 2819 |
∴ So the LCM of the given numbers is 2 x 146 x 2819 = 823148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/823148
Therefore, the GCF of Fractions 453/292,3435/5638 is 3/823148
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 292,5638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(292,5638) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(292,5638) x common factors =2 x 1 = 2
LCM(292,5638) = ( 292 × 5638 ) / 2
LCM(292,5638) = 1646296 / 2
LCM(292,5638) = 823148
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 453/292, 3435/5638?
Answer: GCF of Numerators as per given numbers 453/292, 3435/5638 is
GCF of Numerators i.e. for 453,3435 is 3
LCM of denominators i.e. for 292,5638 is 823148.
Thus, GCF of Fractions is 3/823148.Finally, GCF of Fractions for 453/292, 3435/5638 is 3/823148.