Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7444/247,2454/636
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 7444,2454
Greatest Common Factor of Numerators i.e. GCF of 7444,2454 is 2 .
LCM of Denominators means LCM of 247,636 as per the given fractions.
LCM of 247,636 is 157092 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7444,2454
2 | 7444, 2454 |
3722, 1227 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7444
List of positive integer factors of 7444 that divides 7444 without a remainder.
1,2,4,1861,3722,7444
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 7444,2454 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,2454 is 2.
Lets's calculate LCM of 247,636
Given numbers has no common factors except 1. So, there LCM is their product i.e 157092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157092
Therefore, the GCF of Fractions 7444/247,2454/636 is 2/157092
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 247,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(247,636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(247,636) x common factors =1 x 1 = 1
LCM(247,636) = ( 247 × 636 ) / 1
LCM(247,636) = 157092 / 1
LCM(247,636) = 157092
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 7444/247, 2454/636?
Answer: GCF of Numerators as per given numbers 7444/247, 2454/636 is
GCF of Numerators i.e. for 7444,2454 is 2
LCM of denominators i.e. for 247,636 is 157092.
Thus, GCF of Fractions is 2/157092.Finally, GCF of Fractions for 7444/247, 2454/636 is 2/157092.