Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1009/679,5634/638
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 1009,5634
Greatest Common Factor of Numerators i.e. GCF of 1009,5634 is 1 .
LCM of Denominators means LCM of 679,638 as per the given fractions.
LCM of 679,638 is 433202 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1009,5634
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1009
List of positive integer factors of 1009 that divides 1009 without a remainder.
1,1009
Factors of 5634
List of positive integer factors of 5634 that divides 5634 without a remainder.
1,2,3,6,9,18,313,626,939,1878,2817,5634
Greatest Common Factor
We found the factors 1009,5634 . The biggest common factor number is the GCF number.
So the greatest common factor 1009,5634 is 1.
Lets's calculate LCM of 679,638
Given numbers has no common factors except 1. So, there LCM is their product i.e 433202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433202
Therefore, the GCF of Fractions 1009/679,5634/638 is 1/433202
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 679,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(679,638) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(679,638) x common factors =1 x 1 = 1
LCM(679,638) = ( 679 × 638 ) / 1
LCM(679,638) = 433202 / 1
LCM(679,638) = 433202
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 1009/679, 5634/638?
Answer: GCF of Numerators as per given numbers 1009/679, 5634/638 is
GCF of Numerators i.e. for 1009,5634 is 1
LCM of denominators i.e. for 679,638 is 433202.
Thus, GCF of Fractions is 1/433202.Finally, GCF of Fractions for 1009/679, 5634/638 is 1/433202.