GCD of 345, 376, 699, 870 Calculator

Given Input numbers are 345, 376, 699, 870

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

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

GCD of numbers is the greatest common divisor

So, the GCD (345, 376, 699, 870) = 1.

Given numbers are 345, 376, 699, 870

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 699 are 3 x 233

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 345, 376, 699, 870

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

Apply this formula for all numbers.

Step1:

LCM(345, 376) = 129720

GCD(345, 376) = ( 345 x 376 ) / 129720

= 345 / 376

= 345

Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

Step3:

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

= 1 / 870

= 1

So, Greatest Common Divisor of 345, 376, 699, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 411, 792, 558, 342
• GCD of 973, 390, 874, 540
• GCD of 499, 711, 485, 878
• GCD of 308, 809, 694, 530
• GCD of 128, 462, 912, 575

Given numbers are 345, 376, 699, 870
The greatest common divisor of numbers 345, 376, 699, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 376, 699, 870 is 1.

1. What is the GCD of 345, 376, 699, 870?

GCD of given numbers 345, 376, 699, 870 is 1

2. How to calculate the greatest common divisor of 345, 376, 699, 870?

We can find the highest common divisor of 345, 376, 699, 870 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 345, 376, 699, 870 i.e 1.

3. How can I use the GCD of 345, 376, 699, 870Calculator?

Out the numbers 345, 376, 699, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.