GCD of 642, 892, 198, 740 Calculator

Given Input numbers are 642, 892, 198, 740

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

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

GCD of numbers is the greatest common divisor

So, the GCD (642, 892, 198, 740) = 2.

Given numbers are 642, 892, 198, 740

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 892 are 2 x 2 x 223

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 740 are 2 x 2 x 5 x 37

The highest common occurrence is 2¹

Therefore, GCD of 642, 892, 198, 740 is 2.

Given numbers are 642, 892, 198, 740

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

Apply this formula for all numbers.

Step1:

LCM(642, 892) = 286332

GCD(642, 892) = ( 642 x 892 ) / 286332

= 642 / 892

= 642

Step2:

LCM(2, 198) = 198

GCD(2, 198) = ( 2 x 198 ) / 198

= 2 / 198

= 2

Step3:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

So, Greatest Common Divisor of 642, 892, 198, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 852, 236, 452, 408
• GCD of 707, 454, 711, 906
• GCD of 832, 371, 264, 636
• GCD of 875, 144, 598, 258
• GCD of 687, 797, 214, 784

Given numbers are 642, 892, 198, 740
The greatest common divisor of numbers 642, 892, 198, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 892, 198, 740 is 2.

1. What is the GCD of 642, 892, 198, 740?

GCD of given numbers 642, 892, 198, 740 is 2

2. How to calculate the greatest common divisor of 642, 892, 198, 740?

We can find the highest common divisor of 642, 892, 198, 740 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 642, 892, 198, 740 i.e 2.

3. How can I use the GCD of 642, 892, 198, 740Calculator?

Out the numbers 642, 892, 198, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.