GCD of 846, 862, 420, 160 Calculator

Given Input numbers are 846, 862, 420, 160

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

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (846, 862, 420, 160) = 2.

Given numbers are 846, 862, 420, 160

The list of prime factors of all numbers are

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 862 are 2 x 431

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 846, 862, 420, 160 is 2.

Given numbers are 846, 862, 420, 160

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

Apply this formula for all numbers.

Step1:

LCM(846, 862) = 364626

GCD(846, 862) = ( 846 x 862 ) / 364626

= 846 / 862

= 846

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 846, 862, 420, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 389, 462, 834, 117
• GCD of 143, 203, 207, 883
• GCD of 107, 597, 657, 291
• GCD of 884, 740, 771, 589
• GCD of 501, 340, 692, 943

Given numbers are 846, 862, 420, 160
The greatest common divisor of numbers 846, 862, 420, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 846, 862, 420, 160 is 2.

1. What is the GCD of 846, 862, 420, 160?

GCD of given numbers 846, 862, 420, 160 is 2

2. How to calculate the greatest common divisor of 846, 862, 420, 160?

We can find the highest common divisor of 846, 862, 420, 160 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 846, 862, 420, 160 i.e 2.

3. How can I use the GCD of 846, 862, 420, 160Calculator?

Out the numbers 846, 862, 420, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.