GCD of 742, 664, 142, 852 Calculator

Given Input numbers are 742, 664, 142, 852

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (742, 664, 142, 852) = 2.

Given numbers are 742, 664, 142, 852

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 142 are 2 x 71

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 742, 664, 142, 852 is 2.

Given numbers are 742, 664, 142, 852

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

Apply this formula for all numbers.

Step1:

LCM(742, 664) = 246344

GCD(742, 664) = ( 742 x 664 ) / 246344

= 742 / 664

= 742

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

Step3:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2

So, Greatest Common Divisor of 742, 664, 142, 852 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 864, 359, 466
• GCD of 409, 114, 534, 247
• GCD of 254, 628, 811, 989
• GCD of 598, 290, 271, 882
• GCD of 668, 772, 827, 937

Given numbers are 742, 664, 142, 852
The greatest common divisor of numbers 742, 664, 142, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 664, 142, 852 is 2.

1. What is the GCD of 742, 664, 142, 852?

GCD of given numbers 742, 664, 142, 852 is 2

2. How to calculate the greatest common divisor of 742, 664, 142, 852?

We can find the highest common divisor of 742, 664, 142, 852 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, 664, 142, 852 i.e 2.

3. How can I use the GCD of 742, 664, 142, 852Calculator?

Out the numbers 742, 664, 142, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.