GCD of 942, 742, 160, 509 Calculator

Given Input numbers are 942, 742, 160, 509

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 742 :

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

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (942, 742, 160, 509) = 1.

Given numbers are 942, 742, 160, 509

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 742 are 2 x 7 x 53

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 509 are 509

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 942, 742, 160, 509

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

Apply this formula for all numbers.

Step1:

LCM(942, 742) = 349482

GCD(942, 742) = ( 942 x 742 ) / 349482

= 942 / 742

= 942

Step2:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 942, 742, 160, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 876, 713, 336
• GCD of 637, 335, 113, 523
• GCD of 437, 919, 842, 114
• GCD of 990, 417, 866, 401
• GCD of 348, 109, 142, 573

Given numbers are 942, 742, 160, 509
The greatest common divisor of numbers 942, 742, 160, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 742, 160, 509 is 1.

1. What is the GCD of 942, 742, 160, 509?

GCD of given numbers 942, 742, 160, 509 is 1

2. How to calculate the greatest common divisor of 942, 742, 160, 509?

We can find the highest common divisor of 942, 742, 160, 509 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 942, 742, 160, 509 i.e 1.

3. How can I use the GCD of 942, 742, 160, 509Calculator?

Out the numbers 942, 742, 160, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.