GCD of 142, 705, 371, 214 Calculator

Given Input numbers are 142, 705, 371, 214

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

Divisors of 142 :

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

1, 2, 71, 142

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (142, 705, 371, 214) = 1.

Given numbers are 142, 705, 371, 214

The list of prime factors of all numbers are

Prime factors of 142 are 2 x 71

Prime factors of 705 are 3 x 5 x 47

Prime factors of 371 are 7 x 53

Prime factors of 214 are 2 x 107

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

Given numbers are 142, 705, 371, 214

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

Apply this formula for all numbers.

Step1:

LCM(142, 705) = 100110

GCD(142, 705) = ( 142 x 705 ) / 100110

= 142 / 705

= 142

Step2:

LCM(1, 371) = 371

GCD(1, 371) = ( 1 x 371 ) / 371

= 1 / 371

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 142, 705, 371, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 724, 499, 983
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Given numbers are 142, 705, 371, 214
The greatest common divisor of numbers 142, 705, 371, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 705, 371, 214 is 1.

1. What is the GCD of 142, 705, 371, 214?

GCD of given numbers 142, 705, 371, 214 is 1

2. How to calculate the greatest common divisor of 142, 705, 371, 214?

We can find the highest common divisor of 142, 705, 371, 214 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 142, 705, 371, 214 i.e 1.

3. How can I use the GCD of 142, 705, 371, 214Calculator?

Out the numbers 142, 705, 371, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.