Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 697/539,1485/486
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 697,1485
Greatest Common Factor of Numerators i.e. GCF of 697,1485 is 1 .
LCM of Denominators means LCM of 539,486 as per the given fractions.
LCM of 539,486 is 261954 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 697,1485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 1485
List of positive integer factors of 1485 that divides 1485 without a remainder.
1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485
Greatest Common Factor
We found the factors 697,1485 . The biggest common factor number is the GCF number.
So the greatest common factor 697,1485 is 1.
Lets's calculate LCM of 539,486
Given numbers has no common factors except 1. So, there LCM is their product i.e 261954
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261954
Therefore, the GCF of Fractions 697/539,1485/486 is 1/261954
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 539,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,486) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,486) x common factors =1 x 1 = 1
LCM(539,486) = ( 539 × 486 ) / 1
LCM(539,486) = 261954 / 1
LCM(539,486) = 261954
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 697/539, 1485/486?
Answer: GCF of Numerators as per given numbers 697/539, 1485/486 is
GCF of Numerators i.e. for 697,1485 is 1
LCM of denominators i.e. for 539,486 is 261954.
Thus, GCF of Fractions is 1/261954.Finally, GCF of Fractions for 697/539, 1485/486 is 1/261954.