GCD of 687, 528, 620, 748 Calculator

Given Input numbers are 687, 528, 620, 748

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

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (687, 528, 620, 748) = 1.

Given numbers are 687, 528, 620, 748

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 687, 528, 620, 748

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

Apply this formula for all numbers.

Step1:

LCM(687, 528) = 120912

GCD(687, 528) = ( 687 x 528 ) / 120912

= 687 / 528

= 687

Step2:

LCM(3, 620) = 1860

GCD(3, 620) = ( 3 x 620 ) / 1860

= 3 / 620

= 3

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 687, 528, 620, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 600, 754, 502
• GCD of 292, 295, 600, 810
• GCD of 458, 527, 473, 539
• GCD of 260, 212, 512, 487
• GCD of 951, 749, 562, 759

Given numbers are 687, 528, 620, 748
The greatest common divisor of numbers 687, 528, 620, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 528, 620, 748 is 1.

1. What is the GCD of 687, 528, 620, 748?

GCD of given numbers 687, 528, 620, 748 is 1

2. How to calculate the greatest common divisor of 687, 528, 620, 748?

We can find the highest common divisor of 687, 528, 620, 748 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 687, 528, 620, 748 i.e 1.

3. How can I use the GCD of 687, 528, 620, 748Calculator?

Out the numbers 687, 528, 620, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.