Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5810/763,7449/8744
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 5810,7449
Greatest Common Factor of Numerators i.e. GCF of 5810,7449 is 1 .
LCM of Denominators means LCM of 763,8744 as per the given fractions.
LCM of 763,8744 is 6671672 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5810,7449
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5810
List of positive integer factors of 5810 that divides 5810 without a remainder.
1,2,5,7,10,14,35,70,83,166,415,581,830,1162,2905,5810
Factors of 7449
List of positive integer factors of 7449 that divides 7449 without a remainder.
1,3,13,39,191,573,2483,7449
Greatest Common Factor
We found the factors 5810,7449 . The biggest common factor number is the GCF number.
So the greatest common factor 5810,7449 is 1.
Lets's calculate LCM of 763,8744
Given numbers has no common factors except 1. So, there LCM is their product i.e 6671672
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6671672
Therefore, the GCF of Fractions 5810/763,7449/8744 is 1/6671672
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 763,8744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,8744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,8744) x common factors =1 x 1 = 1
LCM(763,8744) = ( 763 × 8744 ) / 1
LCM(763,8744) = 6671672 / 1
LCM(763,8744) = 6671672
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 5810/763, 7449/8744?
Answer: GCF of Numerators as per given numbers 5810/763, 7449/8744 is
GCF of Numerators i.e. for 5810,7449 is 1
LCM of denominators i.e. for 763,8744 is 6671672.
Thus, GCF of Fractions is 1/6671672.Finally, GCF of Fractions for 5810/763, 7449/8744 is 1/6671672.