Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3021/749,4540/750
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 3021,4540
Greatest Common Factor of Numerators i.e. GCF of 3021,4540 is 1 .
LCM of Denominators means LCM of 749,750 as per the given fractions.
LCM of 749,750 is 561750 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3021,4540
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3021
List of positive integer factors of 3021 that divides 3021 without a remainder.
1,3,19,53,57,159,1007,3021
Factors of 4540
List of positive integer factors of 4540 that divides 4540 without a remainder.
1,2,4,5,10,20,227,454,908,1135,2270,4540
Greatest Common Factor
We found the factors 3021,4540 . The biggest common factor number is the GCF number.
So the greatest common factor 3021,4540 is 1.
Lets's calculate LCM of 749,750
Given numbers has no common factors except 1. So, there LCM is their product i.e 561750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/561750
Therefore, the GCF of Fractions 3021/749,4540/750 is 1/561750
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 749,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,750) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,750) x common factors =1 x 1 = 1
LCM(749,750) = ( 749 × 750 ) / 1
LCM(749,750) = 561750 / 1
LCM(749,750) = 561750
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 3021/749, 4540/750?
Answer: GCF of Numerators as per given numbers 3021/749, 4540/750 is
GCF of Numerators i.e. for 3021,4540 is 1
LCM of denominators i.e. for 749,750 is 561750.
Thus, GCF of Fractions is 1/561750.Finally, GCF of Fractions for 3021/749, 4540/750 is 1/561750.