GCD of 736, 730, 978, 362 Calculator

Given Input numbers are 736, 730, 978, 362

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (736, 730, 978, 362) = 2.

Given numbers are 736, 730, 978, 362

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 730 are 2 x 5 x 73

Prime factors of 978 are 2 x 3 x 163

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 736, 730, 978, 362 is 2.

Given numbers are 736, 730, 978, 362

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

Apply this formula for all numbers.

Step1:

LCM(736, 730) = 268640

GCD(736, 730) = ( 736 x 730 ) / 268640

= 736 / 730

= 736

Step2:

LCM(2, 978) = 978

GCD(2, 978) = ( 2 x 978 ) / 978

= 2 / 978

= 2

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 736, 730, 978, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 175, 170, 954
• GCD of 553, 479, 845, 814
• GCD of 932, 236, 210, 614
• GCD of 215, 470, 491, 128
• GCD of 240, 472, 163, 181

Given numbers are 736, 730, 978, 362
The greatest common divisor of numbers 736, 730, 978, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 730, 978, 362 is 2.

1. What is the GCD of 736, 730, 978, 362?

GCD of given numbers 736, 730, 978, 362 is 2

2. How to calculate the greatest common divisor of 736, 730, 978, 362?

We can find the highest common divisor of 736, 730, 978, 362 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 736, 730, 978, 362 i.e 2.

3. How can I use the GCD of 736, 730, 978, 362Calculator?

Out the numbers 736, 730, 978, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.