GCD of 880, 380, 745, 280 Calculator

Given Input numbers are 880, 380, 745, 280

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

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 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 745 :

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

1, 5, 149, 745

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (880, 380, 745, 280) = 5.

Given numbers are 880, 380, 745, 280

The list of prime factors of all numbers are

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

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 745 are 5 x 149

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 880, 380, 745, 280 is 5.

Given numbers are 880, 380, 745, 280

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

Apply this formula for all numbers.

Step1:

LCM(880, 380) = 16720

GCD(880, 380) = ( 880 x 380 ) / 16720

= 880 / 380

= 880

Step2:

LCM(20, 745) = 2980

GCD(20, 745) = ( 20 x 745 ) / 2980

= 20 / 745

= 20

Step3:

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

= 5 / 280

= 5

So, Greatest Common Divisor of 880, 380, 745, 280 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 191, 426, 833, 369
• GCD of 935, 933, 148, 275
• GCD of 332, 456, 744, 481
• GCD of 596, 823, 196, 570
• GCD of 221, 294, 393, 166

Given numbers are 880, 380, 745, 280
The greatest common divisor of numbers 880, 380, 745, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 380, 745, 280 is 5.

1. What is the GCD of 880, 380, 745, 280?

GCD of given numbers 880, 380, 745, 280 is 5

2. How to calculate the greatest common divisor of 880, 380, 745, 280?

We can find the highest common divisor of 880, 380, 745, 280 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 880, 380, 745, 280 i.e 5.

3. How can I use the GCD of 880, 380, 745, 280Calculator?

Out the numbers 880, 380, 745, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.