GCD of 546, 704, 634, 672 Calculator

Given Input numbers are 546, 704, 634, 672

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

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (546, 704, 634, 672) = 2.

Given numbers are 546, 704, 634, 672

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 634 are 2 x 317

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 546, 704, 634, 672 is 2.

Given numbers are 546, 704, 634, 672

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

Apply this formula for all numbers.

Step1:

LCM(546, 704) = 192192

GCD(546, 704) = ( 546 x 704 ) / 192192

= 546 / 704

= 546

Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

Step3:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

So, Greatest Common Divisor of 546, 704, 634, 672 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 848, 207, 681
• GCD of 657, 258, 816, 619
• GCD of 685, 414, 521, 258
• GCD of 397, 211, 224, 749
• GCD of 757, 543, 443, 573

Given numbers are 546, 704, 634, 672
The greatest common divisor of numbers 546, 704, 634, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 546, 704, 634, 672 is 2.

1. What is the GCD of 546, 704, 634, 672?

GCD of given numbers 546, 704, 634, 672 is 2

2. How to calculate the greatest common divisor of 546, 704, 634, 672?

We can find the highest common divisor of 546, 704, 634, 672 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 546, 704, 634, 672 i.e 2.

3. How can I use the GCD of 546, 704, 634, 672Calculator?

Out the numbers 546, 704, 634, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.