GCD of 478, 688, 634, 766 Calculator

Given Input numbers are 478, 688, 634, 766

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

Divisors of 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (478, 688, 634, 766) = 2.

Given numbers are 478, 688, 634, 766

The list of prime factors of all numbers are

Prime factors of 478 are 2 x 239

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 634 are 2 x 317

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 478, 688, 634, 766 is 2.

Given numbers are 478, 688, 634, 766

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

Apply this formula for all numbers.

Step1:

LCM(478, 688) = 164432

GCD(478, 688) = ( 478 x 688 ) / 164432

= 478 / 688

= 478

Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

Step3:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

So, Greatest Common Divisor of 478, 688, 634, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 890, 371, 990, 480
• GCD of 547, 756, 973, 861
• GCD of 240, 812, 607, 378
• GCD of 744, 988, 479, 775
• GCD of 716, 480, 211, 795

Given numbers are 478, 688, 634, 766
The greatest common divisor of numbers 478, 688, 634, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 478, 688, 634, 766 is 2.

1. What is the GCD of 478, 688, 634, 766?

GCD of given numbers 478, 688, 634, 766 is 2

2. How to calculate the greatest common divisor of 478, 688, 634, 766?

We can find the highest common divisor of 478, 688, 634, 766 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 478, 688, 634, 766 i.e 2.

3. How can I use the GCD of 478, 688, 634, 766Calculator?

Out the numbers 478, 688, 634, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.