GCD of 870, 898, 126, 344 Calculator

Given Input numbers are 870, 898, 126, 344

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 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

1, 2, 4, 8, 43, 86, 172, 344

GCD of numbers is the greatest common divisor

So, the GCD (870, 898, 126, 344) = 2.

Given numbers are 870, 898, 126, 344

The list of prime factors of all numbers are

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

Prime factors of 898 are 2 x 449

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 344 are 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 870, 898, 126, 344 is 2.

Given numbers are 870, 898, 126, 344

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

Apply this formula for all numbers.

Step1:

LCM(870, 898) = 390630

GCD(870, 898) = ( 870 x 898 ) / 390630

= 870 / 898

= 870

Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

Step3:

LCM(2, 344) = 344

GCD(2, 344) = ( 2 x 344 ) / 344

= 2 / 344

= 2

So, Greatest Common Divisor of 870, 898, 126, 344 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 360, 152, 696
• GCD of 895, 470, 171, 878
• GCD of 341, 760, 466, 313
• GCD of 299, 237, 812, 118
• GCD of 621, 140, 570, 216

Given numbers are 870, 898, 126, 344
The greatest common divisor of numbers 870, 898, 126, 344 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 898, 126, 344 is 2.

1. What is the GCD of 870, 898, 126, 344?

GCD of given numbers 870, 898, 126, 344 is 2

2. How to calculate the greatest common divisor of 870, 898, 126, 344?

We can find the highest common divisor of 870, 898, 126, 344 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, 898, 126, 344 i.e 2.

3. How can I use the GCD of 870, 898, 126, 344Calculator?

Out the numbers 870, 898, 126, 344 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.