Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 734/33,3485/312
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 734,3485
Greatest Common Factor of Numerators i.e. GCF of 734,3485 is 1 .
LCM of Denominators means LCM of 33,312 as per the given fractions.
LCM of 33,312 is 3432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 734,3485
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 3485
List of positive integer factors of 3485 that divides 3485 without a remainder.
1,5,17,41,85,205,697,3485
Greatest Common Factor
We found the factors 734,3485 . The biggest common factor number is the GCF number.
So the greatest common factor 734,3485 is 1.
Lets's calculate LCM of 33,312
3 | 33, 312 |
11, 104 |
∴ So the LCM of the given numbers is 3 x 11 x 104 = 3432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3432
Therefore, the GCF of Fractions 734/33,3485/312 is 1/3432
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 33,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,312) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(33,312) x common factors =3 x 1 = 3
LCM(33,312) = ( 33 × 312 ) / 3
LCM(33,312) = 10296 / 3
LCM(33,312) = 3432
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 734/33, 3485/312?
Answer: GCF of Numerators as per given numbers 734/33, 3485/312 is
GCF of Numerators i.e. for 734,3485 is 1
LCM of denominators i.e. for 33,312 is 3432.
Thus, GCF of Fractions is 1/3432.Finally, GCF of Fractions for 734/33, 3485/312 is 1/3432.