Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 531/53,354/4913
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 531,354
Greatest Common Factor of Numerators i.e. GCF of 531,354 is 177 .
LCM of Denominators means LCM of 53,4913 as per the given fractions.
LCM of 53,4913 is 260389 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 531,354
3 | 531, 354 |
59 | 177, 118 |
3, 2 |
∴ So the GCF of the given numbers is 3 x 59 = 177
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 531,354 . The biggest common factor number is the GCF number.
So the greatest common factor 531,354 is 177.
Lets's calculate LCM of 53,4913
Given numbers has no common factors except 1. So, there LCM is their product i.e 260389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 177/260389
Therefore, the GCF of Fractions 531/53,354/4913 is 177/260389
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 53,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,4913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,4913) x common factors =1 x 1 = 1
LCM(53,4913) = ( 53 × 4913 ) / 1
LCM(53,4913) = 260389 / 1
LCM(53,4913) = 260389
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 531/53, 354/4913?
Answer: GCF of Numerators as per given numbers 531/53, 354/4913 is
GCF of Numerators i.e. for 531,354 is 177
LCM of denominators i.e. for 53,4913 is 260389.
Thus, GCF of Fractions is 177/260389.Finally, GCF of Fractions for 531/53, 354/4913 is 177/260389.