Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9544/164,2450/2270
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 9544,2450
Greatest Common Factor of Numerators i.e. GCF of 9544,2450 is 2 .
LCM of Denominators means LCM of 164,2270 as per the given fractions.
LCM of 164,2270 is 186140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9544,2450
2 | 9544, 2450 |
4772, 1225 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9544
List of positive integer factors of 9544 that divides 9544 without a remainder.
1,2,4,8,1193,2386,4772,9544
Factors of 2450
List of positive integer factors of 2450 that divides 2450 without a remainder.
1,2,5,7,10,14,25,35,49,50,70,98,175,245,350,490,1225,2450
Greatest Common Factor
We found the factors 9544,2450 . The biggest common factor number is the GCF number.
So the greatest common factor 9544,2450 is 2.
Lets's calculate LCM of 164,2270
2 | 164, 2270 |
82, 1135 |
∴ So the LCM of the given numbers is 2 x 82 x 1135 = 186140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186140
Therefore, the GCF of Fractions 9544/164,2450/2270 is 2/186140
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 164,2270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,2270) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(164,2270) x common factors =2 x 1 = 2
LCM(164,2270) = ( 164 × 2270 ) / 2
LCM(164,2270) = 372280 / 2
LCM(164,2270) = 186140
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 9544/164, 2450/2270?
Answer: GCF of Numerators as per given numbers 9544/164, 2450/2270 is
GCF of Numerators i.e. for 9544,2450 is 2
LCM of denominators i.e. for 164,2270 is 186140.
Thus, GCF of Fractions is 2/186140.Finally, GCF of Fractions for 9544/164, 2450/2270 is 2/186140.