GCD of 360, 612, 760, 922 Calculator

Given Input numbers are 360, 612, 760, 922

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (360, 612, 760, 922) = 2.

Given numbers are 360, 612, 760, 922

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 360, 612, 760, 922 is 2.

Given numbers are 360, 612, 760, 922

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

Apply this formula for all numbers.

Step1:

LCM(360, 612) = 6120

GCD(360, 612) = ( 360 x 612 ) / 6120

= 360 / 612

= 360

Step2:

LCM(36, 760) = 6840

GCD(36, 760) = ( 36 x 760 ) / 6840

= 36 / 760

= 36

Step3:

LCM(4, 922) = 1844

GCD(4, 922) = ( 4 x 922 ) / 1844

= 4 / 922

= 4

So, Greatest Common Divisor of 360, 612, 760, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 114, 778, 615
• GCD of 896, 991, 175, 305
• GCD of 471, 173, 720, 457
• GCD of 617, 976, 700, 405
• GCD of 831, 888, 255, 259

Given numbers are 360, 612, 760, 922
The greatest common divisor of numbers 360, 612, 760, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 612, 760, 922 is 2.

1. What is the GCD of 360, 612, 760, 922?

GCD of given numbers 360, 612, 760, 922 is 2

2. How to calculate the greatest common divisor of 360, 612, 760, 922?

We can find the highest common divisor of 360, 612, 760, 922 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 360, 612, 760, 922 i.e 2.

3. How can I use the GCD of 360, 612, 760, 922Calculator?

Out the numbers 360, 612, 760, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.