GCD of 354, 711, 870, 861 Calculator

Given Input numbers are 354, 711, 870, 861

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

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 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (354, 711, 870, 861) = 3.

Given numbers are 354, 711, 870, 861

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 711 are 3 x 3 x 79

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

Prime factors of 861 are 3 x 7 x 41

The highest common occurrence is 3¹

Therefore, GCD of 354, 711, 870, 861 is 3.

Given numbers are 354, 711, 870, 861

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

Apply this formula for all numbers.

Step1:

LCM(354, 711) = 83898

GCD(354, 711) = ( 354 x 711 ) / 83898

= 354 / 711

= 354

Step2:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

Step3:

LCM(3, 861) = 861

GCD(3, 861) = ( 3 x 861 ) / 861

= 3 / 861

= 3

So, Greatest Common Divisor of 354, 711, 870, 861 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 494, 241, 632, 499
• GCD of 408, 365, 443, 218
• GCD of 839, 728, 451, 323
• GCD of 224, 641, 748, 598
• GCD of 265, 956, 849, 344

Given numbers are 354, 711, 870, 861
The greatest common divisor of numbers 354, 711, 870, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 711, 870, 861 is 3.

1. What is the GCD of 354, 711, 870, 861?

GCD of given numbers 354, 711, 870, 861 is 3

2. How to calculate the greatest common divisor of 354, 711, 870, 861?

We can find the highest common divisor of 354, 711, 870, 861 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 354, 711, 870, 861 i.e 3.

3. How can I use the GCD of 354, 711, 870, 861Calculator?

Out the numbers 354, 711, 870, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.