GCD of 892, 524, 898, 138 Calculator

Given Input numbers are 892, 524, 898, 138

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 898 :

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

1, 2, 449, 898

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (892, 524, 898, 138) = 2.

Given numbers are 892, 524, 898, 138

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 524 are 2 x 2 x 131

Prime factors of 898 are 2 x 449

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 892, 524, 898, 138 is 2.

Given numbers are 892, 524, 898, 138

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

Apply this formula for all numbers.

Step1:

LCM(892, 524) = 116852

GCD(892, 524) = ( 892 x 524 ) / 116852

= 892 / 524

= 892

Step2:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 892, 524, 898, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 652, 489, 959
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Given numbers are 892, 524, 898, 138
The greatest common divisor of numbers 892, 524, 898, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 524, 898, 138 is 2.

1. What is the GCD of 892, 524, 898, 138?

GCD of given numbers 892, 524, 898, 138 is 2

2. How to calculate the greatest common divisor of 892, 524, 898, 138?

We can find the highest common divisor of 892, 524, 898, 138 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 892, 524, 898, 138 i.e 2.

3. How can I use the GCD of 892, 524, 898, 138Calculator?

Out the numbers 892, 524, 898, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.