GCD of 892, 742, 60, 642 Calculator

Given Input numbers are 892, 742, 60, 642

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 642 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (892, 742, 60, 642) = 2.

Given numbers are 892, 742, 60, 642

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

Prime factors of 742 are 2 x 7 x 53

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 892, 742, 60, 642 is 2.

Given numbers are 892, 742, 60, 642

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

Apply this formula for all numbers.

Step1:

LCM(892, 742) = 330932

GCD(892, 742) = ( 892 x 742 ) / 330932

= 892 / 742

= 892

Step2:

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 892, 742, 60, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 605, 551, 97, 318
• GCD of 242, 530, 89, 549
• GCD of 542, 997, 21, 888
• GCD of 206, 237, 98, 168
• GCD of 531, 841, 19, 949

Given numbers are 892, 742, 60, 642
The greatest common divisor of numbers 892, 742, 60, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 742, 60, 642 is 2.

1. What is the GCD of 892, 742, 60, 642?

GCD of given numbers 892, 742, 60, 642 is 2

2. How to calculate the greatest common divisor of 892, 742, 60, 642?

We can find the highest common divisor of 892, 742, 60, 642 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, 742, 60, 642 i.e 2.

3. How can I use the GCD of 892, 742, 60, 642Calculator?

Out the numbers 892, 742, 60, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.