Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1511/757,4538/455
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 1511,4538
Greatest Common Factor of Numerators i.e. GCF of 1511,4538 is 1 .
LCM of Denominators means LCM of 757,455 as per the given fractions.
LCM of 757,455 is 344435 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1511,4538
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1511
List of positive integer factors of 1511 that divides 1511 without a remainder.
1,1511
Factors of 4538
List of positive integer factors of 4538 that divides 4538 without a remainder.
1,2,2269,4538
Greatest Common Factor
We found the factors 1511,4538 . The biggest common factor number is the GCF number.
So the greatest common factor 1511,4538 is 1.
Lets's calculate LCM of 757,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 344435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344435
Therefore, the GCF of Fractions 1511/757,4538/455 is 1/344435
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 757,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,455) x common factors =1 x 1 = 1
LCM(757,455) = ( 757 × 455 ) / 1
LCM(757,455) = 344435 / 1
LCM(757,455) = 344435
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 1511/757, 4538/455?
Answer: GCF of Numerators as per given numbers 1511/757, 4538/455 is
GCF of Numerators i.e. for 1511,4538 is 1
LCM of denominators i.e. for 757,455 is 344435.
Thus, GCF of Fractions is 1/344435.Finally, GCF of Fractions for 1511/757, 4538/455 is 1/344435.