GCD of 308, 672, 820, 154 Calculator

Given Input numbers are 308, 672, 820, 154

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (308, 672, 820, 154) = 2.

Given numbers are 308, 672, 820, 154

The list of prime factors of all numbers are

Prime factors of 308 are 2 x 2 x 7 x 11

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

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 308, 672, 820, 154 is 2.

Given numbers are 308, 672, 820, 154

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

Apply this formula for all numbers.

Step1:

LCM(308, 672) = 7392

GCD(308, 672) = ( 308 x 672 ) / 7392

= 308 / 672

= 308

Step2:

LCM(28, 820) = 5740

GCD(28, 820) = ( 28 x 820 ) / 5740

= 28 / 820

= 28

Step3:

LCM(4, 154) = 308

GCD(4, 154) = ( 4 x 154 ) / 308

= 4 / 154

= 4

So, Greatest Common Divisor of 308, 672, 820, 154 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 759, 680, 885
• GCD of 554, 728, 247, 918
• GCD of 297, 258, 921, 156
• GCD of 512, 925, 702, 752
• GCD of 882, 459, 775, 979

Given numbers are 308, 672, 820, 154
The greatest common divisor of numbers 308, 672, 820, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 672, 820, 154 is 2.

1. What is the GCD of 308, 672, 820, 154?

GCD of given numbers 308, 672, 820, 154 is 2

2. How to calculate the greatest common divisor of 308, 672, 820, 154?

We can find the highest common divisor of 308, 672, 820, 154 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 308, 672, 820, 154 i.e 2.

3. How can I use the GCD of 308, 672, 820, 154Calculator?

Out the numbers 308, 672, 820, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.