Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 681/622,1577/387
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 681,1577
Greatest Common Factor of Numerators i.e. GCF of 681,1577 is 1 .
LCM of Denominators means LCM of 622,387 as per the given fractions.
LCM of 622,387 is 240714 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 681,1577
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 1577
List of positive integer factors of 1577 that divides 1577 without a remainder.
1,19,83,1577
Greatest Common Factor
We found the factors 681,1577 . The biggest common factor number is the GCF number.
So the greatest common factor 681,1577 is 1.
Lets's calculate LCM of 622,387
Given numbers has no common factors except 1. So, there LCM is their product i.e 240714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240714
Therefore, the GCF of Fractions 681/622,1577/387 is 1/240714
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 622,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,387) x common factors =1 x 1 = 1
LCM(622,387) = ( 622 × 387 ) / 1
LCM(622,387) = 240714 / 1
LCM(622,387) = 240714
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 681/622, 1577/387?
Answer: GCF of Numerators as per given numbers 681/622, 1577/387 is
GCF of Numerators i.e. for 681,1577 is 1
LCM of denominators i.e. for 622,387 is 240714.
Thus, GCF of Fractions is 1/240714.Finally, GCF of Fractions for 681/622, 1577/387 is 1/240714.