GCD of 312, 268, 597, 142 Calculator

Given Input numbers are 312, 268, 597, 142

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

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 597 :

The positive integer divisors of 597 that completely divides 597 are.

1, 3, 199, 597

Divisors of 142 :

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

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (312, 268, 597, 142) = 1.

Given numbers are 312, 268, 597, 142

The list of prime factors of all numbers are

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

Prime factors of 268 are 2 x 2 x 67

Prime factors of 597 are 3 x 199

Prime factors of 142 are 2 x 71

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

Given numbers are 312, 268, 597, 142

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

Apply this formula for all numbers.

Step1:

LCM(312, 268) = 20904

GCD(312, 268) = ( 312 x 268 ) / 20904

= 312 / 268

= 312

Step2:

LCM(4, 597) = 2388

GCD(4, 597) = ( 4 x 597 ) / 2388

= 4 / 597

= 4

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 312, 268, 597, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 332, 817, 990
• GCD of 282, 244, 454, 440
• GCD of 246, 375, 538, 237
• GCD of 283, 731, 306, 849
• GCD of 238, 926, 970, 123

Given numbers are 312, 268, 597, 142
The greatest common divisor of numbers 312, 268, 597, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 268, 597, 142 is 1.

1. What is the GCD of 312, 268, 597, 142?

GCD of given numbers 312, 268, 597, 142 is 1

2. How to calculate the greatest common divisor of 312, 268, 597, 142?

We can find the highest common divisor of 312, 268, 597, 142 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 312, 268, 597, 142 i.e 1.

3. How can I use the GCD of 312, 268, 597, 142Calculator?

Out the numbers 312, 268, 597, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.