Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 693/87,815/823
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 693,815
Greatest Common Factor of Numerators i.e. GCF of 693,815 is 1 .
LCM of Denominators means LCM of 87,823 as per the given fractions.
LCM of 87,823 is 71601 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 693,815
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Greatest Common Factor
We found the factors 693,815 . The biggest common factor number is the GCF number.
So the greatest common factor 693,815 is 1.
Lets's calculate LCM of 87,823
Given numbers has no common factors except 1. So, there LCM is their product i.e 71601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71601
Therefore, the GCF of Fractions 693/87,815/823 is 1/71601
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 87,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,823) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,823) x common factors =1 x 1 = 1
LCM(87,823) = ( 87 × 823 ) / 1
LCM(87,823) = 71601 / 1
LCM(87,823) = 71601
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 693/87, 815/823?
Answer: GCF of Numerators as per given numbers 693/87, 815/823 is
GCF of Numerators i.e. for 693,815 is 1
LCM of denominators i.e. for 87,823 is 71601.
Thus, GCF of Fractions is 1/71601.Finally, GCF of Fractions for 693/87, 815/823 is 1/71601.