GCD of 870, 801, 654, 696 Calculator

Given Input numbers are 870, 801, 654, 696

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 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

GCD of numbers is the greatest common divisor

So, the GCD (870, 801, 654, 696) = 3.

Given numbers are 870, 801, 654, 696

The list of prime factors of all numbers are

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

Prime factors of 801 are 3 x 3 x 89

Prime factors of 654 are 2 x 3 x 109

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 870, 801, 654, 696 is 3.

Given numbers are 870, 801, 654, 696

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

Apply this formula for all numbers.

Step1:

LCM(870, 801) = 232290

GCD(870, 801) = ( 870 x 801 ) / 232290

= 870 / 801

= 870

Step2:

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

= 3 / 654

= 3

Step3:

LCM(3, 696) = 696

GCD(3, 696) = ( 3 x 696 ) / 696

= 3 / 696

= 3

So, Greatest Common Divisor of 870, 801, 654, 696 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 526, 684, 193, 102
• GCD of 853, 614, 108, 828
• GCD of 659, 602, 239, 366
• GCD of 221, 269, 654, 283
• GCD of 554, 114, 454, 791

Given numbers are 870, 801, 654, 696
The greatest common divisor of numbers 870, 801, 654, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 801, 654, 696 is 3.

1. What is the GCD of 870, 801, 654, 696?

GCD of given numbers 870, 801, 654, 696 is 3

2. How to calculate the greatest common divisor of 870, 801, 654, 696?

We can find the highest common divisor of 870, 801, 654, 696 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, 801, 654, 696 i.e 3.

3. How can I use the GCD of 870, 801, 654, 696Calculator?

Out the numbers 870, 801, 654, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.