GCD of 988, 698, 412, 976 Calculator

Given Input numbers are 988, 698, 412, 976

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 976 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (988, 698, 412, 976) = 2.

Given numbers are 988, 698, 412, 976

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 698 are 2 x 349

Prime factors of 412 are 2 x 2 x 103

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

The highest common occurrence is 2¹

Therefore, GCD of 988, 698, 412, 976 is 2.

Given numbers are 988, 698, 412, 976

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

Apply this formula for all numbers.

Step1:

LCM(988, 698) = 344812

GCD(988, 698) = ( 988 x 698 ) / 344812

= 988 / 698

= 988

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 976) = 976

GCD(2, 976) = ( 2 x 976 ) / 976

= 2 / 976

= 2

So, Greatest Common Divisor of 988, 698, 412, 976 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 691, 485, 252, 753
• GCD of 317, 785, 865, 180
• GCD of 297, 868, 573, 834
• GCD of 987, 604, 501, 381
• GCD of 669, 956, 990, 712

Given numbers are 988, 698, 412, 976
The greatest common divisor of numbers 988, 698, 412, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 698, 412, 976 is 2.

1. What is the GCD of 988, 698, 412, 976?

GCD of given numbers 988, 698, 412, 976 is 2

2. How to calculate the greatest common divisor of 988, 698, 412, 976?

We can find the highest common divisor of 988, 698, 412, 976 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 988, 698, 412, 976 i.e 2.

3. How can I use the GCD of 988, 698, 412, 976Calculator?

Out the numbers 988, 698, 412, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.