Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 690/29,565/5471
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 690,565
Greatest Common Factor of Numerators i.e. GCF of 690,565 is 5 .
LCM of Denominators means LCM of 29,5471 as per the given fractions.
LCM of 29,5471 is 158659 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 690,565
5 | 690, 565 |
138, 113 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Greatest Common Factor
We found the factors 690,565 . The biggest common factor number is the GCF number.
So the greatest common factor 690,565 is 5.
Lets's calculate LCM of 29,5471
Given numbers has no common factors except 1. So, there LCM is their product i.e 158659
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/158659
Therefore, the GCF of Fractions 690/29,565/5471 is 5/158659
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 29,5471 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,5471) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,5471) x common factors =1 x 1 = 1
LCM(29,5471) = ( 29 × 5471 ) / 1
LCM(29,5471) = 158659 / 1
LCM(29,5471) = 158659
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 690/29, 565/5471?
Answer: GCF of Numerators as per given numbers 690/29, 565/5471 is
GCF of Numerators i.e. for 690,565 is 5
LCM of denominators i.e. for 29,5471 is 158659.
Thus, GCF of Fractions is 5/158659.Finally, GCF of Fractions for 690/29, 565/5471 is 5/158659.