Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9557/496,6979/543
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 9557,6979
Greatest Common Factor of Numerators i.e. GCF of 9557,6979 is 1 .
LCM of Denominators means LCM of 496,543 as per the given fractions.
LCM of 496,543 is 269328 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9557,6979
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9557
List of positive integer factors of 9557 that divides 9557 without a remainder.
1,19,503,9557
Factors of 6979
List of positive integer factors of 6979 that divides 6979 without a remainder.
1,7,997,6979
Greatest Common Factor
We found the factors 9557,6979 . The biggest common factor number is the GCF number.
So the greatest common factor 9557,6979 is 1.
Lets's calculate LCM of 496,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 269328
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269328
Therefore, the GCF of Fractions 9557/496,6979/543 is 1/269328
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 496,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,543) x common factors =1 x 1 = 1
LCM(496,543) = ( 496 × 543 ) / 1
LCM(496,543) = 269328 / 1
LCM(496,543) = 269328
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 9557/496, 6979/543?
Answer: GCF of Numerators as per given numbers 9557/496, 6979/543 is
GCF of Numerators i.e. for 9557,6979 is 1
LCM of denominators i.e. for 496,543 is 269328.
Thus, GCF of Fractions is 1/269328.Finally, GCF of Fractions for 9557/496, 6979/543 is 1/269328.