GCD of 160, 882, 972, 800 Calculator

Given Input numbers are 160, 882, 972, 800

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (160, 882, 972, 800) = 2.

Given numbers are 160, 882, 972, 800

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 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 160, 882, 972, 800 is 2.

Given numbers are 160, 882, 972, 800

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

Apply this formula for all numbers.

Step1:

LCM(160, 882) = 70560

GCD(160, 882) = ( 160 x 882 ) / 70560

= 160 / 882

= 160

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 160, 882, 972, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 585, 902, 745, 445
• GCD of 534, 307, 530, 267
• GCD of 632, 448, 694, 983
• GCD of 278, 501, 523, 575
• GCD of 208, 342, 964, 318

Given numbers are 160, 882, 972, 800
The greatest common divisor of numbers 160, 882, 972, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 882, 972, 800 is 2.

1. What is the GCD of 160, 882, 972, 800?

GCD of given numbers 160, 882, 972, 800 is 2

2. How to calculate the greatest common divisor of 160, 882, 972, 800?

We can find the highest common divisor of 160, 882, 972, 800 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, 882, 972, 800 i.e 2.

3. How can I use the GCD of 160, 882, 972, 800Calculator?

Out the numbers 160, 882, 972, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.