GCD of 496, 826, 700, 638 Calculator

Given Input numbers are 496, 826, 700, 638

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

GCD of numbers is the greatest common divisor

So, the GCD (496, 826, 700, 638) = 2.

Given numbers are 496, 826, 700, 638

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 826 are 2 x 7 x 59

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 638 are 2 x 11 x 29

The highest common occurrence is 2¹

Therefore, GCD of 496, 826, 700, 638 is 2.

Given numbers are 496, 826, 700, 638

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

Apply this formula for all numbers.

Step1:

LCM(496, 826) = 204848

GCD(496, 826) = ( 496 x 826 ) / 204848

= 496 / 826

= 496

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 638) = 638

GCD(2, 638) = ( 2 x 638 ) / 638

= 2 / 638

= 2

So, Greatest Common Divisor of 496, 826, 700, 638 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 988, 588, 868
• GCD of 542, 359, 699, 451
• GCD of 851, 489, 148, 536
• GCD of 752, 124, 704, 534
• GCD of 326, 316, 761, 566

Given numbers are 496, 826, 700, 638
The greatest common divisor of numbers 496, 826, 700, 638 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 826, 700, 638 is 2.

1. What is the GCD of 496, 826, 700, 638?

GCD of given numbers 496, 826, 700, 638 is 2

2. How to calculate the greatest common divisor of 496, 826, 700, 638?

We can find the highest common divisor of 496, 826, 700, 638 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 496, 826, 700, 638 i.e 2.

3. How can I use the GCD of 496, 826, 700, 638Calculator?

Out the numbers 496, 826, 700, 638 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.