GCD of 977, 428, 775, 289 Calculator

Given Input numbers are 977, 428, 775, 289

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

Divisors of 977 :

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

1, 977

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (977, 428, 775, 289) = 1.

Given numbers are 977, 428, 775, 289

The list of prime factors of all numbers are

Prime factors of 977 are 977

Prime factors of 428 are 2 x 2 x 107

Prime factors of 775 are 5 x 5 x 31

Prime factors of 289 are 17 x 17

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

Given numbers are 977, 428, 775, 289

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

Apply this formula for all numbers.

Step1:

LCM(977, 428) = 418156

GCD(977, 428) = ( 977 x 428 ) / 418156

= 977 / 428

= 977

Step2:

LCM(1, 775) = 775

GCD(1, 775) = ( 1 x 775 ) / 775

= 1 / 775

= 1

Step3:

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

= 1 / 289

= 1

So, Greatest Common Divisor of 977, 428, 775, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 914, 696, 909, 977
• GCD of 614, 671, 955, 316
• GCD of 413, 198, 433, 238
• GCD of 307, 843, 689, 860
• GCD of 236, 741, 547, 116

Given numbers are 977, 428, 775, 289
The greatest common divisor of numbers 977, 428, 775, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 428, 775, 289 is 1.

1. What is the GCD of 977, 428, 775, 289?

GCD of given numbers 977, 428, 775, 289 is 1

2. How to calculate the greatest common divisor of 977, 428, 775, 289?

We can find the highest common divisor of 977, 428, 775, 289 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 977, 428, 775, 289 i.e 1.

3. How can I use the GCD of 977, 428, 775, 289Calculator?

Out the numbers 977, 428, 775, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.