GCD of 984, 358, 566, 700 Calculator

Given Input numbers are 984, 358, 566, 700

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 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (984, 358, 566, 700) = 2.

Given numbers are 984, 358, 566, 700

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 358 are 2 x 179

Prime factors of 566 are 2 x 283

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 984, 358, 566, 700 is 2.

Given numbers are 984, 358, 566, 700

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

Apply this formula for all numbers.

Step1:

LCM(984, 358) = 176136

GCD(984, 358) = ( 984 x 358 ) / 176136

= 984 / 358

= 984

Step2:

LCM(2, 566) = 566

GCD(2, 566) = ( 2 x 566 ) / 566

= 2 / 566

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 984, 358, 566, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 975, 340, 122, 498
• GCD of 746, 953, 914, 743
• GCD of 246, 390, 136, 213
• GCD of 375, 516, 449, 116
• GCD of 910, 427, 986, 999

Given numbers are 984, 358, 566, 700
The greatest common divisor of numbers 984, 358, 566, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 358, 566, 700 is 2.

1. What is the GCD of 984, 358, 566, 700?

GCD of given numbers 984, 358, 566, 700 is 2

2. How to calculate the greatest common divisor of 984, 358, 566, 700?

We can find the highest common divisor of 984, 358, 566, 700 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, 358, 566, 700 i.e 2.

3. How can I use the GCD of 984, 358, 566, 700Calculator?

Out the numbers 984, 358, 566, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.