Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5/28,69/53,15/269,828/307
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 5,69,15,828
Greatest Common Factor of Numerators i.e. GCF of 5,69,15,828 is 1 .
LCM of Denominators means LCM of 28,53,269,307 as per the given fractions.
LCM of 28,53,269,307 is 122553172 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5,69,15,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5
List of positive integer factors of 5 that divides 5 without a remainder.
1,5
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 5,69,15,828 . The biggest common factor number is the GCF number.
So the greatest common factor 5,69,15,828 is 1.
Lets's calculate LCM of 28,53,269,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 122553172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122553172
Therefore, the GCF of Fractions 5/28,69/53,15/269,828/307 is 1/122553172
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 28,53,269,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,53,269,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,53,269,307) x common factors =1 x 1 = 1
LCM(28,53,269,307) = ( 28 × 53 × 269 × 307 ) / 1
LCM(28,53,269,307) = 122553172 / 1
LCM(28,53,269,307) = 122553172
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 5/28, 69/53, 15/269, 828/307?
Answer: GCF of Numerators as per given numbers 5/28, 69/53, 15/269, 828/307 is
GCF of Numerators i.e. for 5,69,15,828 is 1
LCM of denominators i.e. for 28,53,269,307 is 122553172.
Thus, GCF of Fractions is 1/122553172.Finally, GCF of Fractions for 5/28, 69/53, 15/269, 828/307 is 1/122553172.