Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/593,4218/941
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 703,4218
Greatest Common Factor of Numerators i.e. GCF of 703,4218 is 703 .
LCM of Denominators means LCM of 593,941 as per the given fractions.
LCM of 593,941 is 558013 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,4218
19 | 703, 4218 |
37 | 37, 222 |
1, 6 |
∴ So the GCF of the given numbers is 19 x 37 = 703
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 4218
List of positive integer factors of 4218 that divides 4218 without a remainder.
1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Greatest Common Factor
We found the factors 703,4218 . The biggest common factor number is the GCF number.
So the greatest common factor 703,4218 is 703.
Lets's calculate LCM of 593,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 558013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 703/558013
Therefore, the GCF of Fractions 703/593,4218/941 is 703/558013
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 593,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,941) x common factors =1 x 1 = 1
LCM(593,941) = ( 593 × 941 ) / 1
LCM(593,941) = 558013 / 1
LCM(593,941) = 558013
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 703/593, 4218/941?
Answer: GCF of Numerators as per given numbers 703/593, 4218/941 is
GCF of Numerators i.e. for 703,4218 is 703
LCM of denominators i.e. for 593,941 is 558013.
Thus, GCF of Fractions is 703/558013.Finally, GCF of Fractions for 703/593, 4218/941 is 703/558013.