GCD of 975, 140, 128, 728 Calculator

Given Input numbers are 975, 140, 128, 728

In the factoring method, we have to find the divisors of all numbers

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (975, 140, 128, 728) = 1.

Given numbers are 975, 140, 128, 728

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 975, 140, 128, 728

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(975, 140) = 27300

GCD(975, 140) = ( 975 x 140 ) / 27300

= 975 / 140

= 975

Step2:

LCM(5, 128) = 640

GCD(5, 128) = ( 5 x 128 ) / 640

= 5 / 128

= 5

Step3:

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

= 1 / 728

= 1

So, Greatest Common Divisor of 975, 140, 128, 728 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 317, 698, 152
• GCD of 549, 618, 411, 670
• GCD of 684, 279, 201, 206
• GCD of 516, 985, 314, 750
• GCD of 824, 356, 993, 644

Given numbers are 975, 140, 128, 728
The greatest common divisor of numbers 975, 140, 128, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 140, 128, 728 is 1.

1. What is the GCD of 975, 140, 128, 728?

GCD of given numbers 975, 140, 128, 728 is 1

2. How to calculate the greatest common divisor of 975, 140, 128, 728?

We can find the highest common divisor of 975, 140, 128, 728 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 975, 140, 128, 728 i.e 1.

3. How can I use the GCD of 975, 140, 128, 728Calculator?

Out the numbers 975, 140, 128, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.