Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 69/98,59/58,756/426
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 69,59,756
Greatest Common Factor of Numerators i.e. GCF of 69,59,756 is 1 .
LCM of Denominators means LCM of 98,58,426 as per the given fractions.
LCM of 98,58,426 is 605346 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 69,59,756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Greatest Common Factor
We found the factors 69,59,756 . The biggest common factor number is the GCF number.
So the greatest common factor 69,59,756 is 1.
Lets's calculate LCM of 98,58,426
2 | 98, 58, 426 |
49, 29, 213 |
∴ So the LCM of the given numbers is 2 x 49 x 29 x 213 = 605346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605346
Therefore, the GCF of Fractions 69/98,59/58,756/426 is 1/605346
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 98,58,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,58,426) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(98,58,426) x common factors =2 x 2 = 4
LCM(98,58,426) = ( 98 × 58 × 426 ) / 4
LCM(98,58,426) = 2421384 / 4
LCM(98,58,426) = 605346
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 69/98, 59/58, 756/426?
Answer: GCF of Numerators as per given numbers 69/98, 59/58, 756/426 is
GCF of Numerators i.e. for 69,59,756 is 1
LCM of denominators i.e. for 98,58,426 is 605346.
Thus, GCF of Fractions is 1/605346.Finally, GCF of Fractions for 69/98, 59/58, 756/426 is 1/605346.