Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7272/534,7333/785
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 7272,7333
Greatest Common Factor of Numerators i.e. GCF of 7272,7333 is 1 .
LCM of Denominators means LCM of 534,785 as per the given fractions.
LCM of 534,785 is 419190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7272,7333
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7272
List of positive integer factors of 7272 that divides 7272 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72,101,202,303,404,606,808,909,1212,1818,2424,3636,7272
Factors of 7333
List of positive integer factors of 7333 that divides 7333 without a remainder.
1,7333
Greatest Common Factor
We found the factors 7272,7333 . The biggest common factor number is the GCF number.
So the greatest common factor 7272,7333 is 1.
Lets's calculate LCM of 534,785
Given numbers has no common factors except 1. So, there LCM is their product i.e 419190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/419190
Therefore, the GCF of Fractions 7272/534,7333/785 is 1/419190
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 534,785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(534,785) x common factors =1 x 1 = 1
LCM(534,785) = ( 534 × 785 ) / 1
LCM(534,785) = 419190 / 1
LCM(534,785) = 419190
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 7272/534, 7333/785?
Answer: GCF of Numerators as per given numbers 7272/534, 7333/785 is
GCF of Numerators i.e. for 7272,7333 is 1
LCM of denominators i.e. for 534,785 is 419190.
Thus, GCF of Fractions is 1/419190.Finally, GCF of Fractions for 7272/534, 7333/785 is 1/419190.