Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 636/800,9640/463
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 636,9640
Greatest Common Factor of Numerators i.e. GCF of 636,9640 is 4 .
LCM of Denominators means LCM of 800,463 as per the given fractions.
LCM of 800,463 is 370400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 636,9640
2 | 636, 9640 |
2 | 318, 4820 |
159, 2410 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 9640
List of positive integer factors of 9640 that divides 9640 without a remainder.
1,2,4,5,8,10,20,40,241,482,964,1205,1928,2410,4820,9640
Greatest Common Factor
We found the factors 636,9640 . The biggest common factor number is the GCF number.
So the greatest common factor 636,9640 is 4.
Lets's calculate LCM of 800,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 370400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/370400
Therefore, the GCF of Fractions 636/800,9640/463 is 4/370400
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 800,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(800,463) x common factors =1 x 1 = 1
LCM(800,463) = ( 800 × 463 ) / 1
LCM(800,463) = 370400 / 1
LCM(800,463) = 370400
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 636/800, 9640/463?
Answer: GCF of Numerators as per given numbers 636/800, 9640/463 is
GCF of Numerators i.e. for 636,9640 is 4
LCM of denominators i.e. for 800,463 is 370400.
Thus, GCF of Fractions is 4/370400.Finally, GCF of Fractions for 636/800, 9640/463 is 4/370400.