GCD of 852, 842, 948, 870 Calculator

Given Input numbers are 852, 842, 948, 870

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 (852, 842, 948, 870) = 2.

Given numbers are 852, 842, 948, 870

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 842 are 2 x 421

Prime factors of 948 are 2 x 2 x 3 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 852, 842, 948, 870 is 2.

Given numbers are 852, 842, 948, 870

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

Apply this formula for all numbers.

Step1:

LCM(852, 842) = 358692

GCD(852, 842) = ( 852 x 842 ) / 358692

= 852 / 842

= 852

Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

Step3:

LCM(2, 870) = 870

GCD(2, 870) = ( 2 x 870 ) / 870

= 2 / 870

= 2

So, Greatest Common Divisor of 852, 842, 948, 870 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 986, 275, 284
• GCD of 433, 282, 976, 261
• GCD of 979, 505, 877, 568
• GCD of 633, 966, 106, 733
• GCD of 525, 255, 353, 704

Given numbers are 852, 842, 948, 870
The greatest common divisor of numbers 852, 842, 948, 870 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 842, 948, 870 is 2.

1. What is the GCD of 852, 842, 948, 870?

GCD of given numbers 852, 842, 948, 870 is 2

2. How to calculate the greatest common divisor of 852, 842, 948, 870?

We can find the highest common divisor of 852, 842, 948, 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 852, 842, 948, 870 i.e 2.

3. How can I use the GCD of 852, 842, 948, 870Calculator?

Out the numbers 852, 842, 948, 870 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.