Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9782/686,1729/851
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 9782,1729
Greatest Common Factor of Numerators i.e. GCF of 9782,1729 is 1 .
LCM of Denominators means LCM of 686,851 as per the given fractions.
LCM of 686,851 is 583786 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9782,1729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9782
List of positive integer factors of 9782 that divides 9782 without a remainder.
1,2,67,73,134,146,4891,9782
Factors of 1729
List of positive integer factors of 1729 that divides 1729 without a remainder.
1,7,13,19,91,133,247,1729
Greatest Common Factor
We found the factors 9782,1729 . The biggest common factor number is the GCF number.
So the greatest common factor 9782,1729 is 1.
Lets's calculate LCM of 686,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 583786
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583786
Therefore, the GCF of Fractions 9782/686,1729/851 is 1/583786
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 686,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(686,851) x common factors =1 x 1 = 1
LCM(686,851) = ( 686 × 851 ) / 1
LCM(686,851) = 583786 / 1
LCM(686,851) = 583786
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 9782/686, 1729/851?
Answer: GCF of Numerators as per given numbers 9782/686, 1729/851 is
GCF of Numerators i.e. for 9782,1729 is 1
LCM of denominators i.e. for 686,851 is 583786.
Thus, GCF of Fractions is 1/583786.Finally, GCF of Fractions for 9782/686, 1729/851 is 1/583786.