Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 521/626,709/457,830/500
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 521,709,830
Greatest Common Factor of Numerators i.e. GCF of 521,709,830 is 1 .
LCM of Denominators means LCM of 626,457,500 as per the given fractions.
LCM of 626,457,500 is 71520500 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 521,709,830
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Factors of 830
List of positive integer factors of 830 that divides 830 without a remainder.
1,2,5,10,83,166,415,830
Greatest Common Factor
We found the factors 521,709,830 . The biggest common factor number is the GCF number.
So the greatest common factor 521,709,830 is 1.
Lets's calculate LCM of 626,457,500
2 | 626, 457, 500 |
313, 457, 250 |
∴ So the LCM of the given numbers is 2 x 313 x 457 x 250 = 71520500
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71520500
Therefore, the GCF of Fractions 521/626,709/457,830/500 is 1/71520500
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 626,457,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,457,500) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(626,457,500) x common factors =1 x 2 = 2
LCM(626,457,500) = ( 626 × 457 × 500 ) / 2
LCM(626,457,500) = 143041000 / 2
LCM(626,457,500) = 71520500
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 521/626, 709/457, 830/500?
Answer: GCF of Numerators as per given numbers 521/626, 709/457, 830/500 is
GCF of Numerators i.e. for 521,709,830 is 1
LCM of denominators i.e. for 626,457,500 is 71520500.
Thus, GCF of Fractions is 1/71520500.Finally, GCF of Fractions for 521/626, 709/457, 830/500 is 1/71520500.