Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1209/890,4505/5962
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 1209,4505
Greatest Common Factor of Numerators i.e. GCF of 1209,4505 is 1 .
LCM of Denominators means LCM of 890,5962 as per the given fractions.
LCM of 890,5962 is 2653090 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1209,4505
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1209
List of positive integer factors of 1209 that divides 1209 without a remainder.
1,3,13,31,39,93,403,1209
Factors of 4505
List of positive integer factors of 4505 that divides 4505 without a remainder.
1,5,17,53,85,265,901,4505
Greatest Common Factor
We found the factors 1209,4505 . The biggest common factor number is the GCF number.
So the greatest common factor 1209,4505 is 1.
Lets's calculate LCM of 890,5962
2 | 890, 5962 |
445, 2981 |
∴ So the LCM of the given numbers is 2 x 445 x 2981 = 2653090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2653090
Therefore, the GCF of Fractions 1209/890,4505/5962 is 1/2653090
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 890,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,5962) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,5962) x common factors =2 x 1 = 2
LCM(890,5962) = ( 890 × 5962 ) / 2
LCM(890,5962) = 5306180 / 2
LCM(890,5962) = 2653090
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 1209/890, 4505/5962?
Answer: GCF of Numerators as per given numbers 1209/890, 4505/5962 is
GCF of Numerators i.e. for 1209,4505 is 1
LCM of denominators i.e. for 890,5962 is 2653090.
Thus, GCF of Fractions is 1/2653090.Finally, GCF of Fractions for 1209/890, 4505/5962 is 1/2653090.