Online GCD Calculator is useful to find the GCD of 675, 343, 253, 128 quickly. Get the easiest ways to solve the greatest common divisor of 675, 343, 253, 128 i.e 1 in different methods as follows.
Given Input numbers are 675, 343, 253, 128
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 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 253 :
The positive integer divisors of 253 that completely divides 253 are.
1, 11, 23, 253
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
GCD of numbers is the greatest common divisor
So, the GCD (675, 343, 253, 128) = 1.
Given numbers are 675, 343, 253, 128
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 343 are 7 x 7 x 7
Prime factors of 253 are 11 x 23
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 675, 343, 253, 128
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(675, 343) = 231525
GCD(675, 343) = ( 675 x 343 ) / 231525
= 675 / 343
= 675
Step2:
LCM(1, 253) = 253
GCD(1, 253) = ( 1 x 253 ) / 253
= 1 / 253
= 1
Step3:
LCM(1, 128) = 128
GCD(1, 128) = ( 1 x 128 ) / 128
= 1 / 128
= 1
So, Greatest Common Divisor of 675, 343, 253, 128 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 675, 343, 253, 128
The greatest common divisor of numbers 675, 343, 253, 128 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 675, 343, 253, 128 is 1.
1. What is the GCD of 675, 343, 253, 128?
GCD of given numbers 675, 343, 253, 128 is 1
2. How to calculate the greatest common divisor of 675, 343, 253, 128?
We can find the highest common divisor of 675, 343, 253, 128 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, 343, 253, 128 i.e 1.
3. How can I use the GCD of 675, 343, 253, 128Calculator?
Out the numbers 675, 343, 253, 128 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.