GCD of 442, 852, 560, 976 Calculator

Given Input numbers are 442, 852, 560, 976

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (442, 852, 560, 976) = 2.

Given numbers are 442, 852, 560, 976

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

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

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

The highest common occurrence is 2¹

Therefore, GCD of 442, 852, 560, 976 is 2.

Given numbers are 442, 852, 560, 976

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

Apply this formula for all numbers.

Step1:

LCM(442, 852) = 188292

GCD(442, 852) = ( 442 x 852 ) / 188292

= 442 / 852

= 442

Step2:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 442, 852, 560, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 286, 480, 458
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• GCD of 947, 788, 597, 145
• GCD of 748, 567, 506, 313
• GCD of 679, 925, 652, 884

Given numbers are 442, 852, 560, 976
The greatest common divisor of numbers 442, 852, 560, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 852, 560, 976 is 2.

1. What is the GCD of 442, 852, 560, 976?

GCD of given numbers 442, 852, 560, 976 is 2

2. How to calculate the greatest common divisor of 442, 852, 560, 976?

We can find the highest common divisor of 442, 852, 560, 976 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 442, 852, 560, 976 i.e 2.

3. How can I use the GCD of 442, 852, 560, 976Calculator?

Out the numbers 442, 852, 560, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.