GCD of 742, 492, 564, 992 Calculator

Given Input numbers are 742, 492, 564, 992

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

Divisors of 742 :

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

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (742, 492, 564, 992) = 2.

Given numbers are 742, 492, 564, 992

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

The highest common occurrence is 2¹

Therefore, GCD of 742, 492, 564, 992 is 2.

Given numbers are 742, 492, 564, 992

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

Apply this formula for all numbers.

Step1:

LCM(742, 492) = 182532

GCD(742, 492) = ( 742 x 492 ) / 182532

= 742 / 492

= 742

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

= 2 / 992

= 2

So, Greatest Common Divisor of 742, 492, 564, 992 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 439, 539, 841
• GCD of 895, 843, 204, 181
• GCD of 273, 725, 657, 873
• GCD of 340, 999, 954, 623
• GCD of 919, 451, 392, 804

Given numbers are 742, 492, 564, 992
The greatest common divisor of numbers 742, 492, 564, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 492, 564, 992 is 2.

1. What is the GCD of 742, 492, 564, 992?

GCD of given numbers 742, 492, 564, 992 is 2

2. How to calculate the greatest common divisor of 742, 492, 564, 992?

We can find the highest common divisor of 742, 492, 564, 992 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 742, 492, 564, 992 i.e 2.

3. How can I use the GCD of 742, 492, 564, 992Calculator?

Out the numbers 742, 492, 564, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.