GCD of 708, 546, 420, 362 Calculator

Given Input numbers are 708, 546, 420, 362

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 (708, 546, 420, 362) = 2.

Given numbers are 708, 546, 420, 362

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 708, 546, 420, 362 is 2.

Given numbers are 708, 546, 420, 362

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

Apply this formula for all numbers.

Step1:

LCM(708, 546) = 64428

GCD(708, 546) = ( 708 x 546 ) / 64428

= 708 / 546

= 708

Step2:

LCM(6, 420) = 420

GCD(6, 420) = ( 6 x 420 ) / 420

= 6 / 420

= 6

Step3:

LCM(6, 362) = 1086

GCD(6, 362) = ( 6 x 362 ) / 1086

= 6 / 362

= 6

So, Greatest Common Divisor of 708, 546, 420, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 347, 291, 616
• GCD of 293, 380, 732, 848
• GCD of 108, 392, 104, 155
• GCD of 798, 720, 827, 889
• GCD of 432, 636, 951, 816

Given numbers are 708, 546, 420, 362
The greatest common divisor of numbers 708, 546, 420, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 546, 420, 362 is 2.

1. What is the GCD of 708, 546, 420, 362?

GCD of given numbers 708, 546, 420, 362 is 2

2. How to calculate the greatest common divisor of 708, 546, 420, 362?

We can find the highest common divisor of 708, 546, 420, 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 708, 546, 420, 362 i.e 2.

3. How can I use the GCD of 708, 546, 420, 362Calculator?

Out the numbers 708, 546, 420, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.