Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 703/749,8385/4405
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 703,8385
Greatest Common Factor of Numerators i.e. GCF of 703,8385 is 1 .
LCM of Denominators means LCM of 749,4405 as per the given fractions.
LCM of 749,4405 is 3299345 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 703,8385
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 8385
List of positive integer factors of 8385 that divides 8385 without a remainder.
1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385
Greatest Common Factor
We found the factors 703,8385 . The biggest common factor number is the GCF number.
So the greatest common factor 703,8385 is 1.
Lets's calculate LCM of 749,4405
Given numbers has no common factors except 1. So, there LCM is their product i.e 3299345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3299345
Therefore, the GCF of Fractions 703/749,8385/4405 is 1/3299345
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 749,4405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,4405) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,4405) x common factors =1 x 1 = 1
LCM(749,4405) = ( 749 × 4405 ) / 1
LCM(749,4405) = 3299345 / 1
LCM(749,4405) = 3299345
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 703/749, 8385/4405?
Answer: GCF of Numerators as per given numbers 703/749, 8385/4405 is
GCF of Numerators i.e. for 703,8385 is 1
LCM of denominators i.e. for 749,4405 is 3299345.
Thus, GCF of Fractions is 1/3299345.Finally, GCF of Fractions for 703/749, 8385/4405 is 1/3299345.