GCD of 402, 986, 658, 716 Calculator

Given Input numbers are 402, 986, 658, 716

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (402, 986, 658, 716) = 2.

Given numbers are 402, 986, 658, 716

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 986 are 2 x 17 x 29

Prime factors of 658 are 2 x 7 x 47

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 402, 986, 658, 716 is 2.

Given numbers are 402, 986, 658, 716

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

Apply this formula for all numbers.

Step1:

LCM(402, 986) = 198186

GCD(402, 986) = ( 402 x 986 ) / 198186

= 402 / 986

= 402

Step2:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 402, 986, 658, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 779, 253, 504, 935
• GCD of 693, 458, 990, 492
• GCD of 994, 385, 536, 269
• GCD of 324, 501, 580, 165
• GCD of 458, 599, 109, 984

Given numbers are 402, 986, 658, 716
The greatest common divisor of numbers 402, 986, 658, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 986, 658, 716 is 2.

1. What is the GCD of 402, 986, 658, 716?

GCD of given numbers 402, 986, 658, 716 is 2

2. How to calculate the greatest common divisor of 402, 986, 658, 716?

We can find the highest common divisor of 402, 986, 658, 716 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 402, 986, 658, 716 i.e 2.

3. How can I use the GCD of 402, 986, 658, 716Calculator?

Out the numbers 402, 986, 658, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.