Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3636/602,4465/7481
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 3636,4465
Greatest Common Factor of Numerators i.e. GCF of 3636,4465 is 1 .
LCM of Denominators means LCM of 602,7481 as per the given fractions.
LCM of 602,7481 is 4503562 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3636,4465
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3636
List of positive integer factors of 3636 that divides 3636 without a remainder.
1,2,3,4,6,9,12,18,36,101,202,303,404,606,909,1212,1818,3636
Factors of 4465
List of positive integer factors of 4465 that divides 4465 without a remainder.
1,5,19,47,95,235,893,4465
Greatest Common Factor
We found the factors 3636,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 3636,4465 is 1.
Lets's calculate LCM of 602,7481
Given numbers has no common factors except 1. So, there LCM is their product i.e 4503562
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4503562
Therefore, the GCF of Fractions 3636/602,4465/7481 is 1/4503562
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 602,7481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(602,7481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(602,7481) x common factors =1 x 1 = 1
LCM(602,7481) = ( 602 × 7481 ) / 1
LCM(602,7481) = 4503562 / 1
LCM(602,7481) = 4503562
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 3636/602, 4465/7481?
Answer: GCF of Numerators as per given numbers 3636/602, 4465/7481 is
GCF of Numerators i.e. for 3636,4465 is 1
LCM of denominators i.e. for 602,7481 is 4503562.
Thus, GCF of Fractions is 1/4503562.Finally, GCF of Fractions for 3636/602, 4465/7481 is 1/4503562.