GCD of 612, 920, 448, 122 Calculator

Given Input numbers are 612, 920, 448, 122

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

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

GCD of numbers is the greatest common divisor

So, the GCD (612, 920, 448, 122) = 2.

Given numbers are 612, 920, 448, 122

The list of prime factors of all numbers are

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 122 are 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 612, 920, 448, 122 is 2.

Given numbers are 612, 920, 448, 122

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

Apply this formula for all numbers.

Step1:

LCM(612, 920) = 140760

GCD(612, 920) = ( 612 x 920 ) / 140760

= 612 / 920

= 612

Step2:

LCM(4, 448) = 448

GCD(4, 448) = ( 4 x 448 ) / 448

= 4 / 448

= 4

Step3:

LCM(4, 122) = 244

GCD(4, 122) = ( 4 x 122 ) / 244

= 4 / 122

= 4

So, Greatest Common Divisor of 612, 920, 448, 122 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 534, 627, 868
• GCD of 240, 262, 891, 679
• GCD of 976, 643, 571, 432
• GCD of 590, 693, 588, 711
• GCD of 532, 194, 472, 741

Given numbers are 612, 920, 448, 122
The greatest common divisor of numbers 612, 920, 448, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 920, 448, 122 is 2.

1. What is the GCD of 612, 920, 448, 122?

GCD of given numbers 612, 920, 448, 122 is 2

2. How to calculate the greatest common divisor of 612, 920, 448, 122?

We can find the highest common divisor of 612, 920, 448, 122 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 612, 920, 448, 122 i.e 2.

3. How can I use the GCD of 612, 920, 448, 122Calculator?

Out the numbers 612, 920, 448, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.