GCD of 870, 414, 261, 378 Calculator

Given Input numbers are 870, 414, 261, 378

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (870, 414, 261, 378) = 3.

Given numbers are 870, 414, 261, 378

The list of prime factors of all numbers are

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

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 261 are 3 x 3 x 29

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 870, 414, 261, 378 is 3.

Given numbers are 870, 414, 261, 378

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

Apply this formula for all numbers.

Step1:

LCM(870, 414) = 60030

GCD(870, 414) = ( 870 x 414 ) / 60030

= 870 / 414

= 870

Step2:

LCM(6, 261) = 522

GCD(6, 261) = ( 6 x 261 ) / 522

= 6 / 261

= 6

Step3:

LCM(3, 378) = 378

GCD(3, 378) = ( 3 x 378 ) / 378

= 3 / 378

= 3

So, Greatest Common Divisor of 870, 414, 261, 378 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 197, 854, 141, 719
• GCD of 556, 823, 401, 959
• GCD of 681, 486, 446, 139
• GCD of 216, 705, 331, 280
• GCD of 350, 833, 572, 883

Given numbers are 870, 414, 261, 378
The greatest common divisor of numbers 870, 414, 261, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 414, 261, 378 is 3.

1. What is the GCD of 870, 414, 261, 378?

GCD of given numbers 870, 414, 261, 378 is 3

2. How to calculate the greatest common divisor of 870, 414, 261, 378?

We can find the highest common divisor of 870, 414, 261, 378 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, 414, 261, 378 i.e 3.

3. How can I use the GCD of 870, 414, 261, 378Calculator?

Out the numbers 870, 414, 261, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.