GCD of 361, 307, 974, 689 Calculator

Given Input numbers are 361, 307, 974, 689

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

GCD of numbers is the greatest common divisor

So, the GCD (361, 307, 974, 689) = 1.

Given numbers are 361, 307, 974, 689

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

Prime factors of 307 are 307

Prime factors of 974 are 2 x 487

Prime factors of 689 are 13 x 53

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

Given numbers are 361, 307, 974, 689

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

Apply this formula for all numbers.

Step1:

LCM(361, 307) = 110827

GCD(361, 307) = ( 361 x 307 ) / 110827

= 361 / 307

= 361

Step2:

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

= 1 / 974

= 1

Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

So, Greatest Common Divisor of 361, 307, 974, 689 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 169, 377, 505
• GCD of 324, 546, 197, 436
• GCD of 918, 326, 196, 277
• GCD of 491, 782, 982, 920
• GCD of 659, 858, 633, 918

Given numbers are 361, 307, 974, 689
The greatest common divisor of numbers 361, 307, 974, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 307, 974, 689 is 1.

1. What is the GCD of 361, 307, 974, 689?

GCD of given numbers 361, 307, 974, 689 is 1

2. How to calculate the greatest common divisor of 361, 307, 974, 689?

We can find the highest common divisor of 361, 307, 974, 689 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 361, 307, 974, 689 i.e 1.

3. How can I use the GCD of 361, 307, 974, 689Calculator?

Out the numbers 361, 307, 974, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.