Use our free GCF of Fractions Calculator tool to compute the GCF of 8205/736, 4714/9209 i.e 1/6777824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8205/736, 4714/9209.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8205/736,4714/9209
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8205/736,4714/9209, numerators are 8205,4714
Denominators are 736,9209
The GCF of 8205,4714 is 1 .
LCM of 736,9209 is 6777824.
The greatest common factor of 8205/736,4714/9209 = [GCF of 8205,4714]/[LCM of 736,9209]= 1/6777824
Therefore, the GCF of 8205/736,4714/9209 is 1/6777824.
To find the highest common factor of 8205,4714, we have to find the factors of both numbers and list the highest common factor.
The factors of 8205 are 1, 3, 5, 15, 547, 1641, 2735, 8205
The factors of 4714 are 1, 2, 2357, 4714
The HCF of 8205,4714 is 1.
Lets's calculate GCF of 8205,4714
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8205
:1,3,5,15,547,1641,2735,8205
Now, list down the factors of 4714
:1,2,2357,4714
Greatest Common Factor
We found the factors 8205,4714 . The biggest common factor number is the GCF number.
So the greatest common factor 8205,4714 is 1.
Lets's calculate LCM of 736,9209
Given numbers has no common factors except 1. So, there LCM is their product i.e 6777824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6777824
Therefore, the GCF of Fractions 8205/736,4714/9209 is 1/6777824
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 736,9209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(736,9209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(736,9209) x common factors =1 x 1 = 1
LCM(736,9209) = ( 736 × 9209 ) / 1
LCM(736,9209) = 6777824 / 1
LCM(736,9209) = 6777824
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8205,4714?
The HCF of 8205,4714 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 8205/736, 4714/9209?
Answer: GCF of Numerators as per given numbers 8205/736, 4714/9209 is
GCF of Numerators i.e. for 8205,4714 is 1
LCM of denominators i.e. for 736,9209 is 6777824.
Thus, GCF of Fractions is 1/6777824.Finally, GCF of Fractions for 8205/736, 4714/9209 is 1/6777824.