GCD of 942, 320, 523, 140 Calculator

Given Input numbers are 942, 320, 523, 140

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (942, 320, 523, 140) = 1.

Given numbers are 942, 320, 523, 140

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 523 are 523

Prime factors of 140 are 2 x 2 x 5 x 7

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

Given numbers are 942, 320, 523, 140

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

Apply this formula for all numbers.

Step1:

LCM(942, 320) = 150720

GCD(942, 320) = ( 942 x 320 ) / 150720

= 942 / 320

= 942

Step2:

LCM(2, 523) = 1046

GCD(2, 523) = ( 2 x 523 ) / 1046

= 2 / 523

= 2

Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1

So, Greatest Common Divisor of 942, 320, 523, 140 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 156, 789, 797, 990
• GCD of 427, 136, 455, 683
• GCD of 374, 641, 132, 339
• GCD of 270, 809, 663, 657
• GCD of 708, 717, 424, 442

Given numbers are 942, 320, 523, 140
The greatest common divisor of numbers 942, 320, 523, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 320, 523, 140 is 1.

1. What is the GCD of 942, 320, 523, 140?

GCD of given numbers 942, 320, 523, 140 is 1

2. How to calculate the greatest common divisor of 942, 320, 523, 140?

We can find the highest common divisor of 942, 320, 523, 140 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, 320, 523, 140 i.e 1.

3. How can I use the GCD of 942, 320, 523, 140Calculator?

Out the numbers 942, 320, 523, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.