Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9080/971,2454/1224
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 9080,2454
Greatest Common Factor of Numerators i.e. GCF of 9080,2454 is 2 .
LCM of Denominators means LCM of 971,1224 as per the given fractions.
LCM of 971,1224 is 1188504 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9080,2454
2 | 9080, 2454 |
4540, 1227 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9080
List of positive integer factors of 9080 that divides 9080 without a remainder.
1,2,4,5,8,10,20,40,227,454,908,1135,1816,2270,4540,9080
Factors of 2454
List of positive integer factors of 2454 that divides 2454 without a remainder.
1,2,3,6,409,818,1227,2454
Greatest Common Factor
We found the factors 9080,2454 . The biggest common factor number is the GCF number.
So the greatest common factor 9080,2454 is 2.
Lets's calculate LCM of 971,1224
Given numbers has no common factors except 1. So, there LCM is their product i.e 1188504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1188504
Therefore, the GCF of Fractions 9080/971,2454/1224 is 2/1188504
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 971,1224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,1224) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,1224) x common factors =1 x 1 = 1
LCM(971,1224) = ( 971 × 1224 ) / 1
LCM(971,1224) = 1188504 / 1
LCM(971,1224) = 1188504
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 9080/971, 2454/1224?
Answer: GCF of Numerators as per given numbers 9080/971, 2454/1224 is
GCF of Numerators i.e. for 9080,2454 is 2
LCM of denominators i.e. for 971,1224 is 1188504.
Thus, GCF of Fractions is 2/1188504.Finally, GCF of Fractions for 9080/971, 2454/1224 is 2/1188504.