GCD of 796, 672, 616, 654 Calculator

Given Input numbers are 796, 672, 616, 654

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (796, 672, 616, 654) = 2.

Given numbers are 796, 672, 616, 654

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

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

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 654 are 2 x 3 x 109

The highest common occurrence is 2¹

Therefore, GCD of 796, 672, 616, 654 is 2.

Given numbers are 796, 672, 616, 654

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

Apply this formula for all numbers.

Step1:

LCM(796, 672) = 133728

GCD(796, 672) = ( 796 x 672 ) / 133728

= 796 / 672

= 796

Step2:

LCM(4, 616) = 616

GCD(4, 616) = ( 4 x 616 ) / 616

= 4 / 616

= 4

Step3:

LCM(4, 654) = 1308

GCD(4, 654) = ( 4 x 654 ) / 1308

= 4 / 654

= 4

So, Greatest Common Divisor of 796, 672, 616, 654 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 264, 255, 334, 682
• GCD of 896, 429, 817, 149
• GCD of 120, 705, 227, 222
• GCD of 392, 424, 278, 304
• GCD of 531, 181, 452, 872

Given numbers are 796, 672, 616, 654
The greatest common divisor of numbers 796, 672, 616, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 672, 616, 654 is 2.

1. What is the GCD of 796, 672, 616, 654?

GCD of given numbers 796, 672, 616, 654 is 2

2. How to calculate the greatest common divisor of 796, 672, 616, 654?

We can find the highest common divisor of 796, 672, 616, 654 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 796, 672, 616, 654 i.e 2.

3. How can I use the GCD of 796, 672, 616, 654Calculator?

Out the numbers 796, 672, 616, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.