Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 846/32,176/705
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 846,176
Greatest Common Factor of Numerators i.e. GCF of 846,176 is 2 .
LCM of Denominators means LCM of 32,705 as per the given fractions.
LCM of 32,705 is 22560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 846,176
2 | 846, 176 |
423, 88 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 846,176 . The biggest common factor number is the GCF number.
So the greatest common factor 846,176 is 2.
Lets's calculate LCM of 32,705
Given numbers has no common factors except 1. So, there LCM is their product i.e 22560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22560
Therefore, the GCF of Fractions 846/32,176/705 is 2/22560
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 32,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,705) x common factors =1 x 1 = 1
LCM(32,705) = ( 32 × 705 ) / 1
LCM(32,705) = 22560 / 1
LCM(32,705) = 22560
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 846/32, 176/705?
Answer: GCF of Numerators as per given numbers 846/32, 176/705 is
GCF of Numerators i.e. for 846,176 is 2
LCM of denominators i.e. for 32,705 is 22560.
Thus, GCF of Fractions is 2/22560.Finally, GCF of Fractions for 846/32, 176/705 is 2/22560.