GCD of 690, 372, 976, 614 Calculator

Given Input numbers are 690, 372, 976, 614

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 (690, 372, 976, 614) = 2.

Given numbers are 690, 372, 976, 614

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 614 are 2 x 307

The highest common occurrence is 2¹

Therefore, GCD of 690, 372, 976, 614 is 2.

Given numbers are 690, 372, 976, 614

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

Apply this formula for all numbers.

Step1:

LCM(690, 372) = 42780

GCD(690, 372) = ( 690 x 372 ) / 42780

= 690 / 372

= 690

Step2:

LCM(6, 976) = 2928

GCD(6, 976) = ( 6 x 976 ) / 2928

= 6 / 976

= 6

Step3:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

So, Greatest Common Divisor of 690, 372, 976, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 211, 559, 651, 331
• GCD of 451, 515, 616, 642
• GCD of 408, 131, 341, 752
• GCD of 810, 995, 131, 893
• GCD of 793, 496, 430, 294

Given numbers are 690, 372, 976, 614
The greatest common divisor of numbers 690, 372, 976, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 372, 976, 614 is 2.

1. What is the GCD of 690, 372, 976, 614?

GCD of given numbers 690, 372, 976, 614 is 2

2. How to calculate the greatest common divisor of 690, 372, 976, 614?

We can find the highest common divisor of 690, 372, 976, 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 690, 372, 976, 614 i.e 2.

3. How can I use the GCD of 690, 372, 976, 614Calculator?

Out the numbers 690, 372, 976, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.