Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 718/804,248/947
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 718,248
Greatest Common Factor of Numerators i.e. GCF of 718,248 is 2 .
LCM of Denominators means LCM of 804,947 as per the given fractions.
LCM of 804,947 is 761388 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 718,248
2 | 718, 248 |
359, 124 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 718
List of positive integer factors of 718 that divides 718 without a remainder.
1,2,359,718
Factors of 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Greatest Common Factor
We found the factors 718,248 . The biggest common factor number is the GCF number.
So the greatest common factor 718,248 is 2.
Lets's calculate LCM of 804,947
Given numbers has no common factors except 1. So, there LCM is their product i.e 761388
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/761388
Therefore, the GCF of Fractions 718/804,248/947 is 2/761388
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 804,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(804,947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(804,947) x common factors =1 x 1 = 1
LCM(804,947) = ( 804 × 947 ) / 1
LCM(804,947) = 761388 / 1
LCM(804,947) = 761388
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 718/804, 248/947?
Answer: GCF of Numerators as per given numbers 718/804, 248/947 is
GCF of Numerators i.e. for 718,248 is 2
LCM of denominators i.e. for 804,947 is 761388.
Thus, GCF of Fractions is 2/761388.Finally, GCF of Fractions for 718/804, 248/947 is 2/761388.