GCD of 160, 372, 112, 986 Calculator

Given Input numbers are 160, 372, 112, 986

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

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

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (160, 372, 112, 986) = 2.

Given numbers are 160, 372, 112, 986

The list of prime factors of all numbers are

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

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 160, 372, 112, 986 is 2.

Given numbers are 160, 372, 112, 986

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

Apply this formula for all numbers.

Step1:

LCM(160, 372) = 14880

GCD(160, 372) = ( 160 x 372 ) / 14880

= 160 / 372

= 160

Step2:

LCM(4, 112) = 112

GCD(4, 112) = ( 4 x 112 ) / 112

= 4 / 112

= 4

Step3:

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

= 4 / 986

= 4

So, Greatest Common Divisor of 160, 372, 112, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 798, 524, 427
• GCD of 735, 522, 288, 566
• GCD of 214, 202, 971, 488
• GCD of 174, 545, 155, 189
• GCD of 627, 761, 944, 788

Given numbers are 160, 372, 112, 986
The greatest common divisor of numbers 160, 372, 112, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 372, 112, 986 is 2.

1. What is the GCD of 160, 372, 112, 986?

GCD of given numbers 160, 372, 112, 986 is 2

2. How to calculate the greatest common divisor of 160, 372, 112, 986?

We can find the highest common divisor of 160, 372, 112, 986 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 160, 372, 112, 986 i.e 2.

3. How can I use the GCD of 160, 372, 112, 986Calculator?

Out the numbers 160, 372, 112, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.