GCD of 390, 945, 550, 880 Calculator

Given Input numbers are 390, 945, 550, 880

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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

GCD of numbers is the greatest common divisor

So, the GCD (390, 945, 550, 880) = 5.

Given numbers are 390, 945, 550, 880

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 550 are 2 x 5 x 5 x 11

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

The highest common occurrence is 5¹

Therefore, GCD of 390, 945, 550, 880 is 5.

Given numbers are 390, 945, 550, 880

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

Apply this formula for all numbers.

Step1:

LCM(390, 945) = 24570

GCD(390, 945) = ( 390 x 945 ) / 24570

= 390 / 945

= 390

Step2:

LCM(15, 550) = 1650

GCD(15, 550) = ( 15 x 550 ) / 1650

= 15 / 550

= 15

Step3:

LCM(5, 880) = 880

GCD(5, 880) = ( 5 x 880 ) / 880

= 5 / 880

= 5

So, Greatest Common Divisor of 390, 945, 550, 880 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 718, 224, 214
• GCD of 377, 855, 886, 997
• GCD of 102, 595, 688, 876
• GCD of 699, 151, 355, 275
• GCD of 624, 568, 911, 676

Given numbers are 390, 945, 550, 880
The greatest common divisor of numbers 390, 945, 550, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 945, 550, 880 is 5.

1. What is the GCD of 390, 945, 550, 880?

GCD of given numbers 390, 945, 550, 880 is 5

2. How to calculate the greatest common divisor of 390, 945, 550, 880?

We can find the highest common divisor of 390, 945, 550, 880 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 390, 945, 550, 880 i.e 5.

3. How can I use the GCD of 390, 945, 550, 880Calculator?

Out the numbers 390, 945, 550, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.