GCD of 932, 742, 814, 362 Calculator

Given Input numbers are 932, 742, 814, 362

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

Divisors of 932 :

The positive integer divisors of 932 that completely divides 932 are.

1, 2, 4, 233, 466, 932

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 (932, 742, 814, 362) = 2.

Given numbers are 932, 742, 814, 362

The list of prime factors of all numbers are

Prime factors of 932 are 2 x 2 x 233

Prime factors of 742 are 2 x 7 x 53

Prime factors of 814 are 2 x 11 x 37

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 932, 742, 814, 362 is 2.

Given numbers are 932, 742, 814, 362

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

Apply this formula for all numbers.

Step1:

LCM(932, 742) = 345772

GCD(932, 742) = ( 932 x 742 ) / 345772

= 932 / 742

= 932

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 362) = 362

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

= 2 / 362

= 2

So, Greatest Common Divisor of 932, 742, 814, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 558, 159, 319
• GCD of 681, 344, 812, 258
• GCD of 990, 532, 690, 305
• GCD of 924, 595, 518, 402
• GCD of 223, 103, 401, 621

Given numbers are 932, 742, 814, 362
The greatest common divisor of numbers 932, 742, 814, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 932, 742, 814, 362 is 2.

1. What is the GCD of 932, 742, 814, 362?

GCD of given numbers 932, 742, 814, 362 is 2

2. How to calculate the greatest common divisor of 932, 742, 814, 362?

We can find the highest common divisor of 932, 742, 814, 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 932, 742, 814, 362 i.e 2.

3. How can I use the GCD of 932, 742, 814, 362Calculator?

Out the numbers 932, 742, 814, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.