GCD of 442, 352, 898, 762 Calculator

Given Input numbers are 442, 352, 898, 762

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 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (442, 352, 898, 762) = 2.

Given numbers are 442, 352, 898, 762

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 898 are 2 x 449

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 442, 352, 898, 762 is 2.

Given numbers are 442, 352, 898, 762

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

Apply this formula for all numbers.

Step1:

LCM(442, 352) = 77792

GCD(442, 352) = ( 442 x 352 ) / 77792

= 442 / 352

= 442

Step2:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 442, 352, 898, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 636, 718, 654
• GCD of 397, 579, 242, 173
• GCD of 620, 127, 433, 995
• GCD of 303, 334, 900, 118
• GCD of 958, 599, 538, 380

Given numbers are 442, 352, 898, 762
The greatest common divisor of numbers 442, 352, 898, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 352, 898, 762 is 2.

1. What is the GCD of 442, 352, 898, 762?

GCD of given numbers 442, 352, 898, 762 is 2

2. How to calculate the greatest common divisor of 442, 352, 898, 762?

We can find the highest common divisor of 442, 352, 898, 762 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, 352, 898, 762 i.e 2.

3. How can I use the GCD of 442, 352, 898, 762Calculator?

Out the numbers 442, 352, 898, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.