Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2697/751,8381/1627
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 2697,8381
Greatest Common Factor of Numerators i.e. GCF of 2697,8381 is 29 .
LCM of Denominators means LCM of 751,1627 as per the given fractions.
LCM of 751,1627 is 1221877 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2697,8381
29 | 2697, 8381 |
93, 289 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 2697
List of positive integer factors of 2697 that divides 2697 without a remainder.
1,3,29,31,87,93,899,2697
Factors of 8381
List of positive integer factors of 8381 that divides 8381 without a remainder.
1,17,29,289,493,8381
Greatest Common Factor
We found the factors 2697,8381 . The biggest common factor number is the GCF number.
So the greatest common factor 2697,8381 is 29.
Lets's calculate LCM of 751,1627
Given numbers has no common factors except 1. So, there LCM is their product i.e 1221877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/1221877
Therefore, the GCF of Fractions 2697/751,8381/1627 is 29/1221877
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 751,1627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,1627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,1627) x common factors =1 x 1 = 1
LCM(751,1627) = ( 751 × 1627 ) / 1
LCM(751,1627) = 1221877 / 1
LCM(751,1627) = 1221877
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 2697/751, 8381/1627?
Answer: GCF of Numerators as per given numbers 2697/751, 8381/1627 is
GCF of Numerators i.e. for 2697,8381 is 29
LCM of denominators i.e. for 751,1627 is 1221877.
Thus, GCF of Fractions is 29/1221877.Finally, GCF of Fractions for 2697/751, 8381/1627 is 29/1221877.