Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 545/9717,534/5372
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 545,534
Greatest Common Factor of Numerators i.e. GCF of 545,534 is 1 .
LCM of Denominators means LCM of 9717,5372 as per the given fractions.
LCM of 9717,5372 is 660756 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 545,534
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 534
List of positive integer factors of 534 that divides 534 without a remainder.
1,2,3,6,89,178,267,534
Greatest Common Factor
We found the factors 545,534 . The biggest common factor number is the GCF number.
So the greatest common factor 545,534 is 1.
Lets's calculate LCM of 9717,5372
79 | 9717, 5372 |
123, 68 |
∴ So the LCM of the given numbers is 79 x 123 x 68 = 660756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660756
Therefore, the GCF of Fractions 545/9717,534/5372 is 1/660756
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 9717,5372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9717,5372) = 79
common factors(in case of two or more numbers have common factors) = 1
GCF(9717,5372) x common factors =79 x 1 = 79
LCM(9717,5372) = ( 9717 × 5372 ) / 79
LCM(9717,5372) = 52199724 / 79
LCM(9717,5372) = 660756
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 545/9717, 534/5372?
Answer: GCF of Numerators as per given numbers 545/9717, 534/5372 is
GCF of Numerators i.e. for 545,534 is 1
LCM of denominators i.e. for 9717,5372 is 660756.
Thus, GCF of Fractions is 1/660756.Finally, GCF of Fractions for 545/9717, 534/5372 is 1/660756.