GCF of 648/561, 6807/835
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 648/561, 6807/835 i.e 3/468435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 648/561, 6807/835.
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 648/561,6807/835?
Given fractions are 648/561,6807/835
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 648/561,6807/835, numerators are 648,6807
Denominators are 561,835
The GCF of 648,6807 is 3 .
LCM of 561,835 is 468435.
The greatest common factor of 648/561,6807/835 = [GCF of 648,6807]/[LCM of 561,835]= 3/468435
Therefore, the GCF of 648/561,6807/835 is 3/468435.
To find the highest common factor of 648,6807, we have to find the factors of both numbers and list the highest common factor.
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The factors of 6807 are 1, 3, 2269, 6807
The HCF of 648,6807 is 3.
Lets's calculate GCF of 648,6807
| 3 | 648, 6807 |
| 216, 2269 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 648,6807 By Matching Biggest Common Factor Method
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Now, list down the factors of 6807
:1,3,2269,6807
Greatest Common Factor
We found the factors 648,6807 . The biggest common factor number is the GCF number.
So the greatest common factor 648,6807 is 3.
Lets's calculate LCM of 561,835
Given numbers has no common factors except 1. So, there LCM is their product i.e 468435
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/468435
Therefore, the GCF of Fractions 648/561,6807/835 is 3/468435
Least Common Multiple of 561,835 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 561,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,835) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(561,835) x common factors =1 x 1 = 1
LCM(561,835) = ( 561 × 835 ) / 1
LCM(561,835) = 468435 / 1
LCM(561,835) = 468435
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 648/561, 6807/835
1. What is the HCF of 648,6807?
The HCF of 648,6807 is 3
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 648/561, 6807/835?
Answer: GCF of Numerators as per given numbers 648/561, 6807/835 is
GCF of Numerators i.e. for 648,6807 is 3
LCM of denominators i.e. for 561,835 is 468435.
Thus, GCF of Fractions is 3/468435.Finally, GCF of Fractions for 648/561, 6807/835 is 3/468435.