GCD of 488, 746, 510, 692 Calculator

Given Input numbers are 488, 746, 510, 692

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (488, 746, 510, 692) = 2.

Given numbers are 488, 746, 510, 692

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 746 are 2 x 373

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 488, 746, 510, 692 is 2.

Given numbers are 488, 746, 510, 692

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

Apply this formula for all numbers.

Step1:

LCM(488, 746) = 182024

GCD(488, 746) = ( 488 x 746 ) / 182024

= 488 / 746

= 488

Step2:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

Step3:

LCM(2, 692) = 692

GCD(2, 692) = ( 2 x 692 ) / 692

= 2 / 692

= 2

So, Greatest Common Divisor of 488, 746, 510, 692 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 641, 837, 508
• GCD of 139, 387, 144, 185
• GCD of 476, 118, 692, 944
• GCD of 559, 931, 459, 745
• GCD of 259, 505, 797, 935

Given numbers are 488, 746, 510, 692
The greatest common divisor of numbers 488, 746, 510, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 746, 510, 692 is 2.

1. What is the GCD of 488, 746, 510, 692?

GCD of given numbers 488, 746, 510, 692 is 2

2. How to calculate the greatest common divisor of 488, 746, 510, 692?

We can find the highest common divisor of 488, 746, 510, 692 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 488, 746, 510, 692 i.e 2.

3. How can I use the GCD of 488, 746, 510, 692Calculator?

Out the numbers 488, 746, 510, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.