Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 179/942,6041/348
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 179,6041
Greatest Common Factor of Numerators i.e. GCF of 179,6041 is 1 .
LCM of Denominators means LCM of 942,348 as per the given fractions.
LCM of 942,348 is 54636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 179,6041
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 179
List of positive integer factors of 179 that divides 179 without a remainder.
1,179
Factors of 6041
List of positive integer factors of 6041 that divides 6041 without a remainder.
1,7,863,6041
Greatest Common Factor
We found the factors 179,6041 . The biggest common factor number is the GCF number.
So the greatest common factor 179,6041 is 1.
Lets's calculate LCM of 942,348
2 | 942, 348 |
3 | 471, 174 |
157, 58 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 58 = 54636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54636
Therefore, the GCF of Fractions 179/942,6041/348 is 1/54636
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 942,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,348) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,348) x common factors =6 x 1 = 6
LCM(942,348) = ( 942 × 348 ) / 6
LCM(942,348) = 327816 / 6
LCM(942,348) = 54636
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 179/942, 6041/348?
Answer: GCF of Numerators as per given numbers 179/942, 6041/348 is
GCF of Numerators i.e. for 179,6041 is 1
LCM of denominators i.e. for 942,348 is 54636.
Thus, GCF of Fractions is 1/54636.Finally, GCF of Fractions for 179/942, 6041/348 is 1/54636.