GCD of 705, 214, 908, 977 Calculator

Given Input numbers are 705, 214, 908, 977

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

Divisors of 705 :

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

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

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

GCD of numbers is the greatest common divisor

So, the GCD (705, 214, 908, 977) = 1.

Given numbers are 705, 214, 908, 977

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 214 are 2 x 107

Prime factors of 908 are 2 x 2 x 227

Prime factors of 977 are 977

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

Given numbers are 705, 214, 908, 977

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

Apply this formula for all numbers.

Step1:

LCM(705, 214) = 150870

GCD(705, 214) = ( 705 x 214 ) / 150870

= 705 / 214

= 705

Step2:

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

= 1 / 908

= 1

Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1

So, Greatest Common Divisor of 705, 214, 908, 977 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 503, 557, 718, 251
• GCD of 134, 682, 791, 889
• GCD of 629, 575, 104, 338
• GCD of 341, 257, 532, 958
• GCD of 962, 911, 191, 221

Given numbers are 705, 214, 908, 977
The greatest common divisor of numbers 705, 214, 908, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 214, 908, 977 is 1.

1. What is the GCD of 705, 214, 908, 977?

GCD of given numbers 705, 214, 908, 977 is 1

2. How to calculate the greatest common divisor of 705, 214, 908, 977?

We can find the highest common divisor of 705, 214, 908, 977 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 705, 214, 908, 977 i.e 1.

3. How can I use the GCD of 705, 214, 908, 977Calculator?

Out the numbers 705, 214, 908, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.