GCD of 562, 338, 746, 392 Calculator

Given Input numbers are 562, 338, 746, 392

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

GCD of numbers is the greatest common divisor

So, the GCD (562, 338, 746, 392) = 2.

Given numbers are 562, 338, 746, 392

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 338 are 2 x 13 x 13

Prime factors of 746 are 2 x 373

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 562, 338, 746, 392 is 2.

Given numbers are 562, 338, 746, 392

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

Apply this formula for all numbers.

Step1:

LCM(562, 338) = 94978

GCD(562, 338) = ( 562 x 338 ) / 94978

= 562 / 338

= 562

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 392) = 392

GCD(2, 392) = ( 2 x 392 ) / 392

= 2 / 392

= 2

So, Greatest Common Divisor of 562, 338, 746, 392 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 923, 517, 865, 114
• GCD of 236, 109, 980, 321
• GCD of 865, 371, 764, 231
• GCD of 889, 471, 320, 476
• GCD of 951, 155, 737, 469

Given numbers are 562, 338, 746, 392
The greatest common divisor of numbers 562, 338, 746, 392 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 338, 746, 392 is 2.

1. What is the GCD of 562, 338, 746, 392?

GCD of given numbers 562, 338, 746, 392 is 2

2. How to calculate the greatest common divisor of 562, 338, 746, 392?

We can find the highest common divisor of 562, 338, 746, 392 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 562, 338, 746, 392 i.e 2.

3. How can I use the GCD of 562, 338, 746, 392Calculator?

Out the numbers 562, 338, 746, 392 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.