Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 175/43,805/6820
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 175,805
Greatest Common Factor of Numerators i.e. GCF of 175,805 is 35 .
LCM of Denominators means LCM of 43,6820 as per the given fractions.
LCM of 43,6820 is 293260 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 175,805
5 | 175, 805 |
7 | 35, 161 |
5, 23 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Greatest Common Factor
We found the factors 175,805 . The biggest common factor number is the GCF number.
So the greatest common factor 175,805 is 35.
Lets's calculate LCM of 43,6820
Given numbers has no common factors except 1. So, there LCM is their product i.e 293260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/293260
Therefore, the GCF of Fractions 175/43,805/6820 is 35/293260
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 43,6820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,6820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,6820) x common factors =1 x 1 = 1
LCM(43,6820) = ( 43 × 6820 ) / 1
LCM(43,6820) = 293260 / 1
LCM(43,6820) = 293260
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 175/43, 805/6820?
Answer: GCF of Numerators as per given numbers 175/43, 805/6820 is
GCF of Numerators i.e. for 175,805 is 35
LCM of denominators i.e. for 43,6820 is 293260.
Thus, GCF of Fractions is 35/293260.Finally, GCF of Fractions for 175/43, 805/6820 is 35/293260.