Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 604/756,6363/6261
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 604,6363
Greatest Common Factor of Numerators i.e. GCF of 604,6363 is 1 .
LCM of Denominators means LCM of 756,6261 as per the given fractions.
LCM of 756,6261 is 1577772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 604,6363
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 6363
List of positive integer factors of 6363 that divides 6363 without a remainder.
1,3,7,9,21,63,101,303,707,909,2121,6363
Greatest Common Factor
We found the factors 604,6363 . The biggest common factor number is the GCF number.
So the greatest common factor 604,6363 is 1.
Lets's calculate LCM of 756,6261
3 | 756, 6261 |
252, 2087 |
∴ So the LCM of the given numbers is 3 x 252 x 2087 = 1577772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1577772
Therefore, the GCF of Fractions 604/756,6363/6261 is 1/1577772
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 756,6261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,6261) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(756,6261) x common factors =3 x 1 = 3
LCM(756,6261) = ( 756 × 6261 ) / 3
LCM(756,6261) = 4733316 / 3
LCM(756,6261) = 1577772
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 604/756, 6363/6261?
Answer: GCF of Numerators as per given numbers 604/756, 6363/6261 is
GCF of Numerators i.e. for 604,6363 is 1
LCM of denominators i.e. for 756,6261 is 1577772.
Thus, GCF of Fractions is 1/1577772.Finally, GCF of Fractions for 604/756, 6363/6261 is 1/1577772.