GCD of 984, 946, 691, 414 Calculator

Given Input numbers are 984, 946, 691, 414

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 691 :

The positive integer divisors of 691 that completely divides 691 are.

1, 691

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

GCD of numbers is the greatest common divisor

So, the GCD (984, 946, 691, 414) = 1.

Given numbers are 984, 946, 691, 414

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 946 are 2 x 11 x 43

Prime factors of 691 are 691

Prime factors of 414 are 2 x 3 x 3 x 23

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

Given numbers are 984, 946, 691, 414

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

Apply this formula for all numbers.

Step1:

LCM(984, 946) = 465432

GCD(984, 946) = ( 984 x 946 ) / 465432

= 984 / 946

= 984

Step2:

LCM(2, 691) = 1382

GCD(2, 691) = ( 2 x 691 ) / 1382

= 2 / 691

= 2

Step3:

LCM(1, 414) = 414

GCD(1, 414) = ( 1 x 414 ) / 414

= 1 / 414

= 1

So, Greatest Common Divisor of 984, 946, 691, 414 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 228, 950, 256
• GCD of 827, 807, 447, 709
• GCD of 426, 579, 177, 353
• GCD of 540, 415, 484, 655
• GCD of 821, 291, 242, 147

Given numbers are 984, 946, 691, 414
The greatest common divisor of numbers 984, 946, 691, 414 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 946, 691, 414 is 1.

1. What is the GCD of 984, 946, 691, 414?

GCD of given numbers 984, 946, 691, 414 is 1

2. How to calculate the greatest common divisor of 984, 946, 691, 414?

We can find the highest common divisor of 984, 946, 691, 414 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 984, 946, 691, 414 i.e 1.

3. How can I use the GCD of 984, 946, 691, 414Calculator?

Out the numbers 984, 946, 691, 414 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.