GCD of 628, 682, 945, 986 Calculator

Given Input numbers are 628, 682, 945, 986

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 986 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (628, 682, 945, 986) = 1.

Given numbers are 628, 682, 945, 986

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 682 are 2 x 11 x 31

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 986 are 2 x 17 x 29

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

Given numbers are 628, 682, 945, 986

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

Apply this formula for all numbers.

Step1:

LCM(628, 682) = 214148

GCD(628, 682) = ( 628 x 682 ) / 214148

= 628 / 682

= 628

Step2:

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

= 2 / 945

= 2

Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1

So, Greatest Common Divisor of 628, 682, 945, 986 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 286, 512, 401, 688
• GCD of 491, 246, 740, 388
• GCD of 710, 201, 743, 631
• GCD of 339, 131, 768, 879
• GCD of 829, 511, 757, 624

Given numbers are 628, 682, 945, 986
The greatest common divisor of numbers 628, 682, 945, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 682, 945, 986 is 1.

1. What is the GCD of 628, 682, 945, 986?

GCD of given numbers 628, 682, 945, 986 is 1

2. How to calculate the greatest common divisor of 628, 682, 945, 986?

We can find the highest common divisor of 628, 682, 945, 986 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, 682, 945, 986 i.e 1.

3. How can I use the GCD of 628, 682, 945, 986Calculator?

Out the numbers 628, 682, 945, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.