Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 705/32,656/3461
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 705,656
Greatest Common Factor of Numerators i.e. GCF of 705,656 is 1 .
LCM of Denominators means LCM of 32,3461 as per the given fractions.
LCM of 32,3461 is 110752 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 705,656
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 705
List of positive integer factors of 705 that divides 705 without a remainder.
1,3,5,15,47,141,235,705
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Greatest Common Factor
We found the factors 705,656 . The biggest common factor number is the GCF number.
So the greatest common factor 705,656 is 1.
Lets's calculate LCM of 32,3461
Given numbers has no common factors except 1. So, there LCM is their product i.e 110752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110752
Therefore, the GCF of Fractions 705/32,656/3461 is 1/110752
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 32,3461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,3461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,3461) x common factors =1 x 1 = 1
LCM(32,3461) = ( 32 × 3461 ) / 1
LCM(32,3461) = 110752 / 1
LCM(32,3461) = 110752
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 705/32, 656/3461?
Answer: GCF of Numerators as per given numbers 705/32, 656/3461 is
GCF of Numerators i.e. for 705,656 is 1
LCM of denominators i.e. for 32,3461 is 110752.
Thus, GCF of Fractions is 1/110752.Finally, GCF of Fractions for 705/32, 656/3461 is 1/110752.