Online GCD Calculator is useful to find the GCD of 675, 996, 645, 759 quickly. Get the easiest ways to solve the greatest common divisor of 675, 996, 645, 759 i.e 3 in different methods as follows.
Given Input numbers are 675, 996, 645, 759
In the factoring method, we have to find the divisors of all numbers
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 996 :
The positive integer divisors of 996 that completely divides 996 are.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
GCD of numbers is the greatest common divisor
So, the GCD (675, 996, 645, 759) = 3.
Given numbers are 675, 996, 645, 759
The list of prime factors of all numbers are
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 996 are 2 x 2 x 3 x 83
Prime factors of 645 are 3 x 5 x 43
Prime factors of 759 are 3 x 11 x 23
The highest common occurrence is 31
Therefore, GCD of 675, 996, 645, 759 is 3.
Given numbers are 675, 996, 645, 759
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 996) = 224100
GCD(675, 996) = ( 675 x 996 ) / 224100
= 675 / 996
= 675
Step2:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
Step3:
LCM(3, 759) = 759
GCD(3, 759) = ( 3 x 759 ) / 759
= 3 / 759
= 3
So, Greatest Common Divisor of 675, 996, 645, 759 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 996, 645, 759
The greatest common divisor of numbers 675, 996, 645, 759 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 996, 645, 759 is 3.
1. What is the GCD of 675, 996, 645, 759?
GCD of given numbers 675, 996, 645, 759 is 3
2. How to calculate the greatest common divisor of 675, 996, 645, 759?
We can find the highest common divisor of 675, 996, 645, 759 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 675, 996, 645, 759 i.e 3.
3. How can I use the GCD of 675, 996, 645, 759Calculator?
Out the numbers 675, 996, 645, 759 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.