Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 972/676,2729/443
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 972,2729
Greatest Common Factor of Numerators i.e. GCF of 972,2729 is 1 .
LCM of Denominators means LCM of 676,443 as per the given fractions.
LCM of 676,443 is 299468 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 972,2729
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 2729
List of positive integer factors of 2729 that divides 2729 without a remainder.
1,2729
Greatest Common Factor
We found the factors 972,2729 . The biggest common factor number is the GCF number.
So the greatest common factor 972,2729 is 1.
Lets's calculate LCM of 676,443
Given numbers has no common factors except 1. So, there LCM is their product i.e 299468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/299468
Therefore, the GCF of Fractions 972/676,2729/443 is 1/299468
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 676,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(676,443) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(676,443) x common factors =1 x 1 = 1
LCM(676,443) = ( 676 × 443 ) / 1
LCM(676,443) = 299468 / 1
LCM(676,443) = 299468
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 972/676, 2729/443?
Answer: GCF of Numerators as per given numbers 972/676, 2729/443 is
GCF of Numerators i.e. for 972,2729 is 1
LCM of denominators i.e. for 676,443 is 299468.
Thus, GCF of Fractions is 1/299468.Finally, GCF of Fractions for 972/676, 2729/443 is 1/299468.