GCD of 370, 820, 880 Calculator

Given Input numbers are 370, 820, 880

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

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 (370, 820, 880) = 10.

Given numbers are 370, 820, 880

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 820 are 2 x 2 x 5 x 41

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 370, 820, 880 is 10.

Given numbers are 370, 820, 880

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

Apply this formula for all numbers.

Step1:

LCM(370, 820) = 30340

GCD(370, 820) = ( 370 x 820 ) / 30340

= 370 / 820

= 370

Step2:

LCM(10, 880) = 880

GCD(10, 880) = ( 10 x 880 ) / 880

= 10 / 880

= 10

So, Greatest Common Divisor of 370, 820, 880 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 706, 690, 400
• GCD of 117, 773, 584
• GCD of 621, 494, 515
• GCD of 591, 836, 593
• GCD of 697, 638, 117

Given numbers are 370, 820, 880
The greatest common divisor of numbers 370, 820, 880 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 820, 880 is 10.

1. What is the GCD of 370, 820, 880?

GCD of given numbers 370, 820, 880 is 10

2. How to calculate the greatest common divisor of 370, 820, 880?

We can find the highest common divisor of 370, 820, 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 370, 820, 880 i.e 10.

3. How can I use the GCD of 370, 820, 880Calculator?

Out the numbers 370, 820, 880 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.