Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 456/5388,247/1445
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 456,247
Greatest Common Factor of Numerators i.e. GCF of 456,247 is 19 .
LCM of Denominators means LCM of 5388,1445 as per the given fractions.
LCM of 5388,1445 is 7785660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 456,247
19 | 456, 247 |
24, 13 |
∴ So the GCF of the given numbers is 19 = 19
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 456,247 . The biggest common factor number is the GCF number.
So the greatest common factor 456,247 is 19.
Lets's calculate LCM of 5388,1445
Given numbers has no common factors except 1. So, there LCM is their product i.e 7785660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/7785660
Therefore, the GCF of Fractions 456/5388,247/1445 is 19/7785660
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 5388,1445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5388,1445) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5388,1445) x common factors =1 x 1 = 1
LCM(5388,1445) = ( 5388 × 1445 ) / 1
LCM(5388,1445) = 7785660 / 1
LCM(5388,1445) = 7785660
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 456/5388, 247/1445?
Answer: GCF of Numerators as per given numbers 456/5388, 247/1445 is
GCF of Numerators i.e. for 456,247 is 19
LCM of denominators i.e. for 5388,1445 is 7785660.
Thus, GCF of Fractions is 19/7785660.Finally, GCF of Fractions for 456/5388, 247/1445 is 19/7785660.