GCD of 746, 890, 498, 828 Calculator

Given Input numbers are 746, 890, 498, 828

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

Divisors of 746 :

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

1, 2, 373, 746

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (746, 890, 498, 828) = 2.

Given numbers are 746, 890, 498, 828

The list of prime factors of all numbers are

Prime factors of 746 are 2 x 373

Prime factors of 890 are 2 x 5 x 89

Prime factors of 498 are 2 x 3 x 83

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 746, 890, 498, 828 is 2.

Given numbers are 746, 890, 498, 828

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

Apply this formula for all numbers.

Step1:

LCM(746, 890) = 331970

GCD(746, 890) = ( 746 x 890 ) / 331970

= 746 / 890

= 746

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 746, 890, 498, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 663, 123, 159
• GCD of 544, 351, 830, 644
• GCD of 364, 148, 271, 518
• GCD of 620, 989, 459, 115
• GCD of 196, 893, 887, 189

Given numbers are 746, 890, 498, 828
The greatest common divisor of numbers 746, 890, 498, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 746, 890, 498, 828 is 2.

1. What is the GCD of 746, 890, 498, 828?

GCD of given numbers 746, 890, 498, 828 is 2

2. How to calculate the greatest common divisor of 746, 890, 498, 828?

We can find the highest common divisor of 746, 890, 498, 828 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 746, 890, 498, 828 i.e 2.

3. How can I use the GCD of 746, 890, 498, 828Calculator?

Out the numbers 746, 890, 498, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.