Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6301/623,6395/829
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 6301,6395
Greatest Common Factor of Numerators i.e. GCF of 6301,6395 is 1 .
LCM of Denominators means LCM of 623,829 as per the given fractions.
LCM of 623,829 is 516467 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6301,6395
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6301
List of positive integer factors of 6301 that divides 6301 without a remainder.
1,6301
Factors of 6395
List of positive integer factors of 6395 that divides 6395 without a remainder.
1,5,1279,6395
Greatest Common Factor
We found the factors 6301,6395 . The biggest common factor number is the GCF number.
So the greatest common factor 6301,6395 is 1.
Lets's calculate LCM of 623,829
Given numbers has no common factors except 1. So, there LCM is their product i.e 516467
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/516467
Therefore, the GCF of Fractions 6301/623,6395/829 is 1/516467
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 623,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,829) x common factors =1 x 1 = 1
LCM(623,829) = ( 623 × 829 ) / 1
LCM(623,829) = 516467 / 1
LCM(623,829) = 516467
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 6301/623, 6395/829?
Answer: GCF of Numerators as per given numbers 6301/623, 6395/829 is
GCF of Numerators i.e. for 6301,6395 is 1
LCM of denominators i.e. for 623,829 is 516467.
Thus, GCF of Fractions is 1/516467.Finally, GCF of Fractions for 6301/623, 6395/829 is 1/516467.