GCD of 870, 369, 783, 426 Calculator

Given Input numbers are 870, 369, 783, 426

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

Divisors of 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 783 :

The positive integer divisors of 783 that completely divides 783 are.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

GCD of numbers is the greatest common divisor

So, the GCD (870, 369, 783, 426) = 3.

Given numbers are 870, 369, 783, 426

The list of prime factors of all numbers are

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 369 are 3 x 3 x 41

Prime factors of 783 are 3 x 3 x 3 x 29

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 870, 369, 783, 426 is 3.

Given numbers are 870, 369, 783, 426

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

Apply this formula for all numbers.

Step1:

LCM(870, 369) = 107010

GCD(870, 369) = ( 870 x 369 ) / 107010

= 870 / 369

= 870

Step2:

LCM(3, 783) = 783

GCD(3, 783) = ( 3 x 783 ) / 783

= 3 / 783

= 3

Step3:

LCM(3, 426) = 426

GCD(3, 426) = ( 3 x 426 ) / 426

= 3 / 426

= 3

So, Greatest Common Divisor of 870, 369, 783, 426 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 413, 964, 253
• GCD of 534, 655, 279, 335
• GCD of 460, 563, 451, 988
• GCD of 395, 519, 765, 184
• GCD of 186, 537, 359, 589

Given numbers are 870, 369, 783, 426
The greatest common divisor of numbers 870, 369, 783, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 369, 783, 426 is 3.

1. What is the GCD of 870, 369, 783, 426?

GCD of given numbers 870, 369, 783, 426 is 3

2. How to calculate the greatest common divisor of 870, 369, 783, 426?

We can find the highest common divisor of 870, 369, 783, 426 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 870, 369, 783, 426 i.e 3.

3. How can I use the GCD of 870, 369, 783, 426Calculator?

Out the numbers 870, 369, 783, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.