Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 962/596,802/636,499/828
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 962,802,499
Greatest Common Factor of Numerators i.e. GCF of 962,802,499 is 1 .
LCM of Denominators means LCM of 596,636,828 as per the given fractions.
LCM of 596,636,828 is 6538716 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 962,802,499
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Greatest Common Factor
We found the factors 962,802,499 . The biggest common factor number is the GCF number.
So the greatest common factor 962,802,499 is 1.
Lets's calculate LCM of 596,636,828
2 | 596, 636, 828 |
2 | 298, 318, 414 |
3 | 149, 159, 207 |
149, 53, 69 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 149 x 53 x 69 = 6538716
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6538716
Therefore, the GCF of Fractions 962/596,802/636,499/828 is 1/6538716
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 596,636,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,636,828) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(596,636,828) x common factors =4 x 12 = 48
LCM(596,636,828) = ( 596 × 636 × 828 ) / 48
LCM(596,636,828) = 313858368 / 48
LCM(596,636,828) = 6538716
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 962/596, 802/636, 499/828?
Answer: GCF of Numerators as per given numbers 962/596, 802/636, 499/828 is
GCF of Numerators i.e. for 962,802,499 is 1
LCM of denominators i.e. for 596,636,828 is 6538716.
Thus, GCF of Fractions is 1/6538716.Finally, GCF of Fractions for 962/596, 802/636, 499/828 is 1/6538716.