Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 435/123,525/349
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 435,525
Greatest Common Factor of Numerators i.e. GCF of 435,525 is 15 .
LCM of Denominators means LCM of 123,349 as per the given fractions.
LCM of 123,349 is 42927 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 435,525
3 | 435, 525 |
5 | 145, 175 |
29, 35 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 435,525 . The biggest common factor number is the GCF number.
So the greatest common factor 435,525 is 15.
Lets's calculate LCM of 123,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 42927
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/42927
Therefore, the GCF of Fractions 435/123,525/349 is 15/42927
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 123,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(123,349) x common factors =1 x 1 = 1
LCM(123,349) = ( 123 × 349 ) / 1
LCM(123,349) = 42927 / 1
LCM(123,349) = 42927
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 435/123, 525/349?
Answer: GCF of Numerators as per given numbers 435/123, 525/349 is
GCF of Numerators i.e. for 435,525 is 15
LCM of denominators i.e. for 123,349 is 42927.
Thus, GCF of Fractions is 15/42927.Finally, GCF of Fractions for 435/123, 525/349 is 15/42927.