GCD of 628, 412, 986, 700 Calculator

Given Input numbers are 628, 412, 986, 700

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 412 :

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

1, 2, 4, 103, 206, 412

Divisors of 986 :

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

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

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 (628, 412, 986, 700) = 2.

Given numbers are 628, 412, 986, 700

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 412 are 2 x 2 x 103

Prime factors of 986 are 2 x 17 x 29

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

The highest common occurrence is 2¹

Therefore, GCD of 628, 412, 986, 700 is 2.

Given numbers are 628, 412, 986, 700

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

Apply this formula for all numbers.

Step1:

LCM(628, 412) = 64684

GCD(628, 412) = ( 628 x 412 ) / 64684

= 628 / 412

= 628

Step2:

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

= 4 / 986

= 4

Step3:

LCM(2, 700) = 700

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

= 2 / 700

= 2

So, Greatest Common Divisor of 628, 412, 986, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 831, 839, 810
• GCD of 331, 508, 705, 237
• GCD of 816, 425, 558, 574
• GCD of 828, 344, 391, 489
• GCD of 936, 664, 475, 539

Given numbers are 628, 412, 986, 700
The greatest common divisor of numbers 628, 412, 986, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 412, 986, 700 is 2.

1. What is the GCD of 628, 412, 986, 700?

GCD of given numbers 628, 412, 986, 700 is 2

2. How to calculate the greatest common divisor of 628, 412, 986, 700?

We can find the highest common divisor of 628, 412, 986, 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 628, 412, 986, 700 i.e 2.

3. How can I use the GCD of 628, 412, 986, 700Calculator?

Out the numbers 628, 412, 986, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.