Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8994/155,1474/4807
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 8994,1474
Greatest Common Factor of Numerators i.e. GCF of 8994,1474 is 2 .
LCM of Denominators means LCM of 155,4807 as per the given fractions.
LCM of 155,4807 is 745085 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8994,1474
2 | 8994, 1474 |
4497, 737 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8994
List of positive integer factors of 8994 that divides 8994 without a remainder.
1,2,3,6,1499,2998,4497,8994
Factors of 1474
List of positive integer factors of 1474 that divides 1474 without a remainder.
1,2,11,22,67,134,737,1474
Greatest Common Factor
We found the factors 8994,1474 . The biggest common factor number is the GCF number.
So the greatest common factor 8994,1474 is 2.
Lets's calculate LCM of 155,4807
Given numbers has no common factors except 1. So, there LCM is their product i.e 745085
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/745085
Therefore, the GCF of Fractions 8994/155,1474/4807 is 2/745085
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 155,4807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,4807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,4807) x common factors =1 x 1 = 1
LCM(155,4807) = ( 155 × 4807 ) / 1
LCM(155,4807) = 745085 / 1
LCM(155,4807) = 745085
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 8994/155, 1474/4807?
Answer: GCF of Numerators as per given numbers 8994/155, 1474/4807 is
GCF of Numerators i.e. for 8994,1474 is 2
LCM of denominators i.e. for 155,4807 is 745085.
Thus, GCF of Fractions is 2/745085.Finally, GCF of Fractions for 8994/155, 1474/4807 is 2/745085.