Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 869/579,132/683
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 869,132
Greatest Common Factor of Numerators i.e. GCF of 869,132 is 11 .
LCM of Denominators means LCM of 579,683 as per the given fractions.
LCM of 579,683 is 395457 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 869,132
11 | 869, 132 |
79, 12 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 869,132 . The biggest common factor number is the GCF number.
So the greatest common factor 869,132 is 11.
Lets's calculate LCM of 579,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 395457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/395457
Therefore, the GCF of Fractions 869/579,132/683 is 11/395457
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 579,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,683) x common factors =1 x 1 = 1
LCM(579,683) = ( 579 × 683 ) / 1
LCM(579,683) = 395457 / 1
LCM(579,683) = 395457
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 869/579, 132/683?
Answer: GCF of Numerators as per given numbers 869/579, 132/683 is
GCF of Numerators i.e. for 869,132 is 11
LCM of denominators i.e. for 579,683 is 395457.
Thus, GCF of Fractions is 11/395457.Finally, GCF of Fractions for 869/579, 132/683 is 11/395457.