Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 207/37,575/9451
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 207,575
Greatest Common Factor of Numerators i.e. GCF of 207,575 is 23 .
LCM of Denominators means LCM of 37,9451 as per the given fractions.
LCM of 37,9451 is 349687 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 207,575
23 | 207, 575 |
9, 25 |
∴ So the GCF of the given numbers is 23 = 23
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 207,575 . The biggest common factor number is the GCF number.
So the greatest common factor 207,575 is 23.
Lets's calculate LCM of 37,9451
Given numbers has no common factors except 1. So, there LCM is their product i.e 349687
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/349687
Therefore, the GCF of Fractions 207/37,575/9451 is 23/349687
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 37,9451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,9451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,9451) x common factors =1 x 1 = 1
LCM(37,9451) = ( 37 × 9451 ) / 1
LCM(37,9451) = 349687 / 1
LCM(37,9451) = 349687
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 207/37, 575/9451?
Answer: GCF of Numerators as per given numbers 207/37, 575/9451 is
GCF of Numerators i.e. for 207,575 is 23
LCM of denominators i.e. for 37,9451 is 349687.
Thus, GCF of Fractions is 23/349687.Finally, GCF of Fractions for 207/37, 575/9451 is 23/349687.