Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6578/777,9533/949
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 6578,9533
Greatest Common Factor of Numerators i.e. GCF of 6578,9533 is 1 .
LCM of Denominators means LCM of 777,949 as per the given fractions.
LCM of 777,949 is 737373 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6578,9533
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6578
List of positive integer factors of 6578 that divides 6578 without a remainder.
1,2,11,13,22,23,26,46,143,253,286,299,506,598,3289,6578
Factors of 9533
List of positive integer factors of 9533 that divides 9533 without a remainder.
1,9533
Greatest Common Factor
We found the factors 6578,9533 . The biggest common factor number is the GCF number.
So the greatest common factor 6578,9533 is 1.
Lets's calculate LCM of 777,949
Given numbers has no common factors except 1. So, there LCM is their product i.e 737373
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/737373
Therefore, the GCF of Fractions 6578/777,9533/949 is 1/737373
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 777,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(777,949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(777,949) x common factors =1 x 1 = 1
LCM(777,949) = ( 777 × 949 ) / 1
LCM(777,949) = 737373 / 1
LCM(777,949) = 737373
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 6578/777, 9533/949?
Answer: GCF of Numerators as per given numbers 6578/777, 9533/949 is
GCF of Numerators i.e. for 6578,9533 is 1
LCM of denominators i.e. for 777,949 is 737373.
Thus, GCF of Fractions is 1/737373.Finally, GCF of Fractions for 6578/777, 9533/949 is 1/737373.