Online GCD Calculator is useful to find the GCD of 675, 340, 616, 653 quickly. Get the easiest ways to solve the greatest common divisor of 675, 340, 616, 653 i.e 1 in different methods as follows.
Given Input numbers are 675, 340, 616, 653
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 616 :
The positive integer divisors of 616 that completely divides 616 are.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 653 :
The positive integer divisors of 653 that completely divides 653 are.
1, 653
GCD of numbers is the greatest common divisor
So, the GCD (675, 340, 616, 653) = 1.
Given numbers are 675, 340, 616, 653
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 340 are 2 x 2 x 5 x 17
Prime factors of 616 are 2 x 2 x 2 x 7 x 11
Prime factors of 653 are 653
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 340, 616, 653
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 340) = 45900
GCD(675, 340) = ( 675 x 340 ) / 45900
= 675 / 340
= 675
Step2:
LCM(5, 616) = 3080
GCD(5, 616) = ( 5 x 616 ) / 3080
= 5 / 616
= 5
Step3:
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
= 1 / 653
= 1
So, Greatest Common Divisor of 675, 340, 616, 653 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 340, 616, 653
The greatest common divisor of numbers 675, 340, 616, 653 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 340, 616, 653 is 1.
1. What is the GCD of 675, 340, 616, 653?
GCD of given numbers 675, 340, 616, 653 is 1
2. How to calculate the greatest common divisor of 675, 340, 616, 653?
We can find the highest common divisor of 675, 340, 616, 653 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, 340, 616, 653 i.e 1.
3. How can I use the GCD of 675, 340, 616, 653Calculator?
Out the numbers 675, 340, 616, 653 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.