Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5679/167,4194/2769
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 5679,4194
Greatest Common Factor of Numerators i.e. GCF of 5679,4194 is 9 .
LCM of Denominators means LCM of 167,2769 as per the given fractions.
LCM of 167,2769 is 462423 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5679,4194
3 | 5679, 4194 |
3 | 1893, 1398 |
631, 466 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 5679
List of positive integer factors of 5679 that divides 5679 without a remainder.
1,3,9,631,1893,5679
Factors of 4194
List of positive integer factors of 4194 that divides 4194 without a remainder.
1,2,3,6,9,18,233,466,699,1398,2097,4194
Greatest Common Factor
We found the factors 5679,4194 . The biggest common factor number is the GCF number.
So the greatest common factor 5679,4194 is 9.
Lets's calculate LCM of 167,2769
Given numbers has no common factors except 1. So, there LCM is their product i.e 462423
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/462423
Therefore, the GCF of Fractions 5679/167,4194/2769 is 9/462423
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 167,2769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(167,2769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(167,2769) x common factors =1 x 1 = 1
LCM(167,2769) = ( 167 × 2769 ) / 1
LCM(167,2769) = 462423 / 1
LCM(167,2769) = 462423
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 5679/167, 4194/2769?
Answer: GCF of Numerators as per given numbers 5679/167, 4194/2769 is
GCF of Numerators i.e. for 5679,4194 is 9
LCM of denominators i.e. for 167,2769 is 462423.
Thus, GCF of Fractions is 9/462423.Finally, GCF of Fractions for 5679/167, 4194/2769 is 9/462423.