GCD of 320, 920, 880, 745 Calculator

Given Input numbers are 320, 920, 880, 745

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (320, 920, 880, 745) = 5.

Given numbers are 320, 920, 880, 745

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 745 are 5 x 149

The highest common occurrence is 5¹

Therefore, GCD of 320, 920, 880, 745 is 5.

Given numbers are 320, 920, 880, 745

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

Apply this formula for all numbers.

Step1:

LCM(320, 920) = 7360

GCD(320, 920) = ( 320 x 920 ) / 7360

= 320 / 920

= 320

Step2:

LCM(40, 880) = 880

GCD(40, 880) = ( 40 x 880 ) / 880

= 40 / 880

= 40

Step3:

LCM(40, 745) = 5960

GCD(40, 745) = ( 40 x 745 ) / 5960

= 40 / 745

= 40

So, Greatest Common Divisor of 320, 920, 880, 745 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 453, 991, 358, 326
• GCD of 243, 980, 320, 452
• GCD of 417, 783, 311, 725
• GCD of 437, 191, 802, 400
• GCD of 115, 209, 159, 593

Given numbers are 320, 920, 880, 745
The greatest common divisor of numbers 320, 920, 880, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 920, 880, 745 is 5.

1. What is the GCD of 320, 920, 880, 745?

GCD of given numbers 320, 920, 880, 745 is 5

2. How to calculate the greatest common divisor of 320, 920, 880, 745?

We can find the highest common divisor of 320, 920, 880, 745 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 320, 920, 880, 745 i.e 5.

3. How can I use the GCD of 320, 920, 880, 745Calculator?

Out the numbers 320, 920, 880, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.