GCF of 6807/615, 6736/453
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6807/615, 6736/453 i.e 1/92865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6807/615, 6736/453.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6807/615,6736/453?
Given fractions are 6807/615,6736/453
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 6807/615,6736/453, numerators are 6807,6736
Denominators are 615,453
The GCF of 6807,6736 is 1 .
LCM of 615,453 is 92865.
The greatest common factor of 6807/615,6736/453 = [GCF of 6807,6736]/[LCM of 615,453]= 1/92865
Therefore, the GCF of 6807/615,6736/453 is 1/92865.
To find the highest common factor of 6807,6736, we have to find the factors of both numbers and list the highest common factor.
The factors of 6807 are 1, 3, 2269, 6807
The factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736
The HCF of 6807,6736 is 1.
Lets's calculate GCF of 6807,6736
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6807,6736 By Matching Biggest Common Factor Method
Now, list down the factors of 6807
:1,3,2269,6807
Now, list down the factors of 6736
:1,2,4,8,16,421,842,1684,3368,6736
Greatest Common Factor
We found the factors 6807,6736 . The biggest common factor number is the GCF number.
So the greatest common factor 6807,6736 is 1.
Lets's calculate LCM of 615,453
| 3 | 615, 453 |
| 205, 151 |
∴ So the LCM of the given numbers is 3 x 205 x 151 = 92865
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/92865
Therefore, the GCF of Fractions 6807/615,6736/453 is 1/92865
Least Common Multiple of 615,453 with GCF Formula
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 615,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,453) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(615,453) x common factors =3 x 1 = 3
LCM(615,453) = ( 615 × 453 ) / 3
LCM(615,453) = 278595 / 3
LCM(615,453) = 92865
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6807/615, 6736/453
1. What is the HCF of 6807,6736?
The HCF of 6807,6736 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 6807/615, 6736/453?
Answer: GCF of Numerators as per given numbers 6807/615, 6736/453 is
GCF of Numerators i.e. for 6807,6736 is 1
LCM of denominators i.e. for 615,453 is 92865.
Thus, GCF of Fractions is 1/92865.Finally, GCF of Fractions for 6807/615, 6736/453 is 1/92865.