GCD of 400, 796, 942, 858 Calculator

Given Input numbers are 400, 796, 942, 858

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 858 :

The positive integer divisors of 858 that completely divides 858 are.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

GCD of numbers is the greatest common divisor

So, the GCD (400, 796, 942, 858) = 2.

Given numbers are 400, 796, 942, 858

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 796 are 2 x 2 x 199

Prime factors of 942 are 2 x 3 x 157

Prime factors of 858 are 2 x 3 x 11 x 13

The highest common occurrence is 2¹

Therefore, GCD of 400, 796, 942, 858 is 2.

Given numbers are 400, 796, 942, 858

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

Apply this formula for all numbers.

Step1:

LCM(400, 796) = 79600

GCD(400, 796) = ( 400 x 796 ) / 79600

= 400 / 796

= 400

Step2:

LCM(4, 942) = 1884

GCD(4, 942) = ( 4 x 942 ) / 1884

= 4 / 942

= 4

Step3:

LCM(2, 858) = 858

GCD(2, 858) = ( 2 x 858 ) / 858

= 2 / 858

= 2

So, Greatest Common Divisor of 400, 796, 942, 858 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 172, 998, 314
• GCD of 135, 342, 919, 972
• GCD of 587, 864, 722, 232
• GCD of 544, 542, 523, 122
• GCD of 715, 740, 413, 159

Given numbers are 400, 796, 942, 858
The greatest common divisor of numbers 400, 796, 942, 858 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 796, 942, 858 is 2.

1. What is the GCD of 400, 796, 942, 858?

GCD of given numbers 400, 796, 942, 858 is 2

2. How to calculate the greatest common divisor of 400, 796, 942, 858?

We can find the highest common divisor of 400, 796, 942, 858 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 400, 796, 942, 858 i.e 2.

3. How can I use the GCD of 400, 796, 942, 858Calculator?

Out the numbers 400, 796, 942, 858 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.