Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 170/691,786/884
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 170,786
Greatest Common Factor of Numerators i.e. GCF of 170,786 is 2 .
LCM of Denominators means LCM of 691,884 as per the given fractions.
LCM of 691,884 is 610844 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 170,786
2 | 170, 786 |
85, 393 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 170
List of positive integer factors of 170 that divides 170 without a remainder.
1,2,5,10,17,34,85,170
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 170,786 . The biggest common factor number is the GCF number.
So the greatest common factor 170,786 is 2.
Lets's calculate LCM of 691,884
Given numbers has no common factors except 1. So, there LCM is their product i.e 610844
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/610844
Therefore, the GCF of Fractions 170/691,786/884 is 2/610844
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 691,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,884) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,884) x common factors =1 x 1 = 1
LCM(691,884) = ( 691 × 884 ) / 1
LCM(691,884) = 610844 / 1
LCM(691,884) = 610844
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 170/691, 786/884?
Answer: GCF of Numerators as per given numbers 170/691, 786/884 is
GCF of Numerators i.e. for 170,786 is 2
LCM of denominators i.e. for 691,884 is 610844.
Thus, GCF of Fractions is 2/610844.Finally, GCF of Fractions for 170/691, 786/884 is 2/610844.