GCD of 971, 328, 698, 614 Calculator

Given Input numbers are 971, 328, 698, 614

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

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 328 :

The positive integer divisors of 328 that completely divides 328 are.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

GCD of numbers is the greatest common divisor

So, the GCD (971, 328, 698, 614) = 1.

Given numbers are 971, 328, 698, 614

The list of prime factors of all numbers are

Prime factors of 971 are 971

Prime factors of 328 are 2 x 2 x 2 x 41

Prime factors of 698 are 2 x 349

Prime factors of 614 are 2 x 307

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

Given numbers are 971, 328, 698, 614

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

Apply this formula for all numbers.

Step1:

LCM(971, 328) = 318488

GCD(971, 328) = ( 971 x 328 ) / 318488

= 971 / 328

= 971

Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

Step3:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1

So, Greatest Common Divisor of 971, 328, 698, 614 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 402, 180, 397, 679
• GCD of 907, 522, 971, 319
• GCD of 423, 241, 245, 846
• GCD of 558, 302, 653, 682
• GCD of 498, 545, 114, 578

Given numbers are 971, 328, 698, 614
The greatest common divisor of numbers 971, 328, 698, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 971, 328, 698, 614 is 1.

1. What is the GCD of 971, 328, 698, 614?

GCD of given numbers 971, 328, 698, 614 is 1

2. How to calculate the greatest common divisor of 971, 328, 698, 614?

We can find the highest common divisor of 971, 328, 698, 614 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 971, 328, 698, 614 i.e 1.

3. How can I use the GCD of 971, 328, 698, 614Calculator?

Out the numbers 971, 328, 698, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.