Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 79/721,753/632,503/815
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 79,753,503
Greatest Common Factor of Numerators i.e. GCF of 79,753,503 is 1 .
LCM of Denominators means LCM of 721,632,815 as per the given fractions.
LCM of 721,632,815 is 371372680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 79,753,503
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 503
List of positive integer factors of 503 that divides 503 without a remainder.
1,503
Greatest Common Factor
We found the factors 79,753,503 . The biggest common factor number is the GCF number.
So the greatest common factor 79,753,503 is 1.
Lets's calculate LCM of 721,632,815
Given numbers has no common factors except 1. So, there LCM is their product i.e 371372680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/371372680
Therefore, the GCF of Fractions 79/721,753/632,503/815 is 1/371372680
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 721,632,815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(721,632,815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(721,632,815) x common factors =1 x 1 = 1
LCM(721,632,815) = ( 721 × 632 × 815 ) / 1
LCM(721,632,815) = 371372680 / 1
LCM(721,632,815) = 371372680
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 79/721, 753/632, 503/815?
Answer: GCF of Numerators as per given numbers 79/721, 753/632, 503/815 is
GCF of Numerators i.e. for 79,753,503 is 1
LCM of denominators i.e. for 721,632,815 is 371372680.
Thus, GCF of Fractions is 1/371372680.Finally, GCF of Fractions for 79/721, 753/632, 503/815 is 1/371372680.