Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 879/1479,830/8941
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 879,830
Greatest Common Factor of Numerators i.e. GCF of 879,830 is 1 .
LCM of Denominators means LCM of 1479,8941 as per the given fractions.
LCM of 1479,8941 is 13223739 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 879,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 879,830 . The biggest common factor number is the GCF number.
So the greatest common factor 879,830 is 1.
Lets's calculate LCM of 1479,8941
Given numbers has no common factors except 1. So, there LCM is their product i.e 13223739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13223739
Therefore, the GCF of Fractions 879/1479,830/8941 is 1/13223739
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 1479,8941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1479,8941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1479,8941) x common factors =1 x 1 = 1
LCM(1479,8941) = ( 1479 × 8941 ) / 1
LCM(1479,8941) = 13223739 / 1
LCM(1479,8941) = 13223739
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 879/1479, 830/8941?
Answer: GCF of Numerators as per given numbers 879/1479, 830/8941 is
GCF of Numerators i.e. for 879,830 is 1
LCM of denominators i.e. for 1479,8941 is 13223739.
Thus, GCF of Fractions is 1/13223739.Finally, GCF of Fractions for 879/1479, 830/8941 is 1/13223739.