Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4753/407,3822/8835
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 4753,3822
Greatest Common Factor of Numerators i.e. GCF of 4753,3822 is 49 .
LCM of Denominators means LCM of 407,8835 as per the given fractions.
LCM of 407,8835 is 3595845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4753,3822
7 | 4753, 3822 |
7 | 679, 546 |
97, 78 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Factors of 4753
List of positive integer factors of 4753 that divides 4753 without a remainder.
1,7,49,97,679,4753
Factors of 3822
List of positive integer factors of 3822 that divides 3822 without a remainder.
1,2,3,6,7,13,14,21,26,39,42,49,78,91,98,147,182,273,294,546,637,1274,1911,3822
Greatest Common Factor
We found the factors 4753,3822 . The biggest common factor number is the GCF number.
So the greatest common factor 4753,3822 is 49.
Lets's calculate LCM of 407,8835
Given numbers has no common factors except 1. So, there LCM is their product i.e 3595845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/3595845
Therefore, the GCF of Fractions 4753/407,3822/8835 is 49/3595845
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 407,8835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,8835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,8835) x common factors =1 x 1 = 1
LCM(407,8835) = ( 407 × 8835 ) / 1
LCM(407,8835) = 3595845 / 1
LCM(407,8835) = 3595845
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 4753/407, 3822/8835?
Answer: GCF of Numerators as per given numbers 4753/407, 3822/8835 is
GCF of Numerators i.e. for 4753,3822 is 49
LCM of denominators i.e. for 407,8835 is 3595845.
Thus, GCF of Fractions is 49/3595845.Finally, GCF of Fractions for 4753/407, 3822/8835 is 49/3595845.