GCD of 431, 142, 340, 320 Calculator

Given Input numbers are 431, 142, 340, 320

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

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

GCD of numbers is the greatest common divisor

So, the GCD (431, 142, 340, 320) = 1.

Given numbers are 431, 142, 340, 320

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 142 are 2 x 71

Prime factors of 340 are 2 x 2 x 5 x 17

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

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

Given numbers are 431, 142, 340, 320

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

Apply this formula for all numbers.

Step1:

LCM(431, 142) = 61202

GCD(431, 142) = ( 431 x 142 ) / 61202

= 431 / 142

= 431

Step2:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 431, 142, 340, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 517, 778, 543
• GCD of 798, 868, 846, 437
• GCD of 930, 546, 677, 337
• GCD of 343, 699, 781, 249
• GCD of 973, 923, 517, 365

Given numbers are 431, 142, 340, 320
The greatest common divisor of numbers 431, 142, 340, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 142, 340, 320 is 1.

1. What is the GCD of 431, 142, 340, 320?

GCD of given numbers 431, 142, 340, 320 is 1

2. How to calculate the greatest common divisor of 431, 142, 340, 320?

We can find the highest common divisor of 431, 142, 340, 320 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 431, 142, 340, 320 i.e 1.

3. How can I use the GCD of 431, 142, 340, 320Calculator?

Out the numbers 431, 142, 340, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.