GCD of 732, 359, 256, 140 Calculator

Given Input numbers are 732, 359, 256, 140

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

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

GCD of numbers is the greatest common divisor

So, the GCD (732, 359, 256, 140) = 1.

Given numbers are 732, 359, 256, 140

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 359 are 359

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

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

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

Given numbers are 732, 359, 256, 140

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

Apply this formula for all numbers.

Step1:

LCM(732, 359) = 262788

GCD(732, 359) = ( 732 x 359 ) / 262788

= 732 / 359

= 732

Step2:

LCM(1, 256) = 256

GCD(1, 256) = ( 1 x 256 ) / 256

= 1 / 256

= 1

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 732, 359, 256, 140 is 1

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Given numbers are 732, 359, 256, 140
The greatest common divisor of numbers 732, 359, 256, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 359, 256, 140 is 1.

1. What is the GCD of 732, 359, 256, 140?

GCD of given numbers 732, 359, 256, 140 is 1

2. How to calculate the greatest common divisor of 732, 359, 256, 140?

We can find the highest common divisor of 732, 359, 256, 140 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 732, 359, 256, 140 i.e 1.

3. How can I use the GCD of 732, 359, 256, 140Calculator?

Out the numbers 732, 359, 256, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.