Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1879/572,8581/677
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 1879,8581
Greatest Common Factor of Numerators i.e. GCF of 1879,8581 is 1 .
LCM of Denominators means LCM of 572,677 as per the given fractions.
LCM of 572,677 is 387244 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1879,8581
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1879
List of positive integer factors of 1879 that divides 1879 without a remainder.
1,1879
Factors of 8581
List of positive integer factors of 8581 that divides 8581 without a remainder.
1,8581
Greatest Common Factor
We found the factors 1879,8581 . The biggest common factor number is the GCF number.
So the greatest common factor 1879,8581 is 1.
Lets's calculate LCM of 572,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 387244
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/387244
Therefore, the GCF of Fractions 1879/572,8581/677 is 1/387244
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 572,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(572,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(572,677) x common factors =1 x 1 = 1
LCM(572,677) = ( 572 × 677 ) / 1
LCM(572,677) = 387244 / 1
LCM(572,677) = 387244
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 1879/572, 8581/677?
Answer: GCF of Numerators as per given numbers 1879/572, 8581/677 is
GCF of Numerators i.e. for 1879,8581 is 1
LCM of denominators i.e. for 572,677 is 387244.
Thus, GCF of Fractions is 1/387244.Finally, GCF of Fractions for 1879/572, 8581/677 is 1/387244.