Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/727,4022/8685
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 744,4022
Greatest Common Factor of Numerators i.e. GCF of 744,4022 is 2 .
LCM of Denominators means LCM of 727,8685 as per the given fractions.
LCM of 727,8685 is 6313995 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,4022
2 | 744, 4022 |
372, 2011 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1,2,2011,4022
Greatest Common Factor
We found the factors 744,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 744,4022 is 2.
Lets's calculate LCM of 727,8685
Given numbers has no common factors except 1. So, there LCM is their product i.e 6313995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6313995
Therefore, the GCF of Fractions 744/727,4022/8685 is 2/6313995
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 727,8685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,8685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,8685) x common factors =1 x 1 = 1
LCM(727,8685) = ( 727 × 8685 ) / 1
LCM(727,8685) = 6313995 / 1
LCM(727,8685) = 6313995
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 744/727, 4022/8685?
Answer: GCF of Numerators as per given numbers 744/727, 4022/8685 is
GCF of Numerators i.e. for 744,4022 is 2
LCM of denominators i.e. for 727,8685 is 6313995.
Thus, GCF of Fractions is 2/6313995.Finally, GCF of Fractions for 744/727, 4022/8685 is 2/6313995.