GCD of 371, 987, 840, 205 Calculator

Given Input numbers are 371, 987, 840, 205

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

Divisors of 371 :

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

1, 7, 53, 371

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

GCD of numbers is the greatest common divisor

So, the GCD (371, 987, 840, 205) = 1.

Given numbers are 371, 987, 840, 205

The list of prime factors of all numbers are

Prime factors of 371 are 7 x 53

Prime factors of 987 are 3 x 7 x 47

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 205 are 5 x 41

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

Given numbers are 371, 987, 840, 205

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

Apply this formula for all numbers.

Step1:

LCM(371, 987) = 52311

GCD(371, 987) = ( 371 x 987 ) / 52311

= 371 / 987

= 371

Step2:

LCM(7, 840) = 840

GCD(7, 840) = ( 7 x 840 ) / 840

= 7 / 840

= 7

Step3:

LCM(7, 205) = 1435

GCD(7, 205) = ( 7 x 205 ) / 1435

= 7 / 205

= 7

So, Greatest Common Divisor of 371, 987, 840, 205 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 607, 661, 953
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Given numbers are 371, 987, 840, 205
The greatest common divisor of numbers 371, 987, 840, 205 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 987, 840, 205 is 1.

1. What is the GCD of 371, 987, 840, 205?

GCD of given numbers 371, 987, 840, 205 is 1

2. How to calculate the greatest common divisor of 371, 987, 840, 205?

We can find the highest common divisor of 371, 987, 840, 205 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 371, 987, 840, 205 i.e 1.

3. How can I use the GCD of 371, 987, 840, 205Calculator?

Out the numbers 371, 987, 840, 205 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.