GCD of 749, 740, 642, 359 Calculator

Given Input numbers are 749, 740, 642, 359

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 359 :

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

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (749, 740, 642, 359) = 1.

Given numbers are 749, 740, 642, 359

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 642 are 2 x 3 x 107

Prime factors of 359 are 359

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

Given numbers are 749, 740, 642, 359

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

Apply this formula for all numbers.

Step1:

LCM(749, 740) = 554260

GCD(749, 740) = ( 749 x 740 ) / 554260

= 749 / 740

= 749

Step2:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

Step3:

LCM(1, 359) = 359

GCD(1, 359) = ( 1 x 359 ) / 359

= 1 / 359

= 1

So, Greatest Common Divisor of 749, 740, 642, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 824, 949, 957
• GCD of 534, 630, 268, 685
• GCD of 673, 347, 210, 581
• GCD of 879, 507, 523, 580
• GCD of 451, 815, 976, 743

Given numbers are 749, 740, 642, 359
The greatest common divisor of numbers 749, 740, 642, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 740, 642, 359 is 1.

1. What is the GCD of 749, 740, 642, 359?

GCD of given numbers 749, 740, 642, 359 is 1

2. How to calculate the greatest common divisor of 749, 740, 642, 359?

We can find the highest common divisor of 749, 740, 642, 359 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 749, 740, 642, 359 i.e 1.

3. How can I use the GCD of 749, 740, 642, 359Calculator?

Out the numbers 749, 740, 642, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.