GCD of 628, 704, 564, 762 Calculator

Given Input numbers are 628, 704, 564, 762

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (628, 704, 564, 762) = 2.

Given numbers are 628, 704, 564, 762

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 628, 704, 564, 762 is 2.

Given numbers are 628, 704, 564, 762

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

Apply this formula for all numbers.

Step1:

LCM(628, 704) = 110528

GCD(628, 704) = ( 628 x 704 ) / 110528

= 628 / 704

= 628

Step2:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

Step3:

LCM(4, 762) = 1524

GCD(4, 762) = ( 4 x 762 ) / 1524

= 4 / 762

= 4

So, Greatest Common Divisor of 628, 704, 564, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 394, 548, 488, 949
• GCD of 909, 162, 522, 312
• GCD of 358, 581, 445, 101
• GCD of 298, 964, 714, 278
• GCD of 102, 438, 264, 631

Given numbers are 628, 704, 564, 762
The greatest common divisor of numbers 628, 704, 564, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 704, 564, 762 is 2.

1. What is the GCD of 628, 704, 564, 762?

GCD of given numbers 628, 704, 564, 762 is 2

2. How to calculate the greatest common divisor of 628, 704, 564, 762?

We can find the highest common divisor of 628, 704, 564, 762 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, 704, 564, 762 i.e 2.

3. How can I use the GCD of 628, 704, 564, 762Calculator?

Out the numbers 628, 704, 564, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.