Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 992/887,1573/869
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 992,1573
Greatest Common Factor of Numerators i.e. GCF of 992,1573 is 1 .
LCM of Denominators means LCM of 887,869 as per the given fractions.
LCM of 887,869 is 770803 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 992,1573
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 992
List of positive integer factors of 992 that divides 992 without a remainder.
1,2,4,8,16,31,32,62,124,248,496,992
Factors of 1573
List of positive integer factors of 1573 that divides 1573 without a remainder.
1,11,13,121,143,1573
Greatest Common Factor
We found the factors 992,1573 . The biggest common factor number is the GCF number.
So the greatest common factor 992,1573 is 1.
Lets's calculate LCM of 887,869
Given numbers has no common factors except 1. So, there LCM is their product i.e 770803
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/770803
Therefore, the GCF of Fractions 992/887,1573/869 is 1/770803
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 887,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,869) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,869) x common factors =1 x 1 = 1
LCM(887,869) = ( 887 × 869 ) / 1
LCM(887,869) = 770803 / 1
LCM(887,869) = 770803
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 992/887, 1573/869?
Answer: GCF of Numerators as per given numbers 992/887, 1573/869 is
GCF of Numerators i.e. for 992,1573 is 1
LCM of denominators i.e. for 887,869 is 770803.
Thus, GCF of Fractions is 1/770803.Finally, GCF of Fractions for 992/887, 1573/869 is 1/770803.