GCD of 790, 734, 498, 298 Calculator

Given Input numbers are 790, 734, 498, 298

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 498 :

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

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (790, 734, 498, 298) = 2.

Given numbers are 790, 734, 498, 298

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 734 are 2 x 367

Prime factors of 498 are 2 x 3 x 83

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 790, 734, 498, 298 is 2.

Given numbers are 790, 734, 498, 298

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

Apply this formula for all numbers.

Step1:

LCM(790, 734) = 289930

GCD(790, 734) = ( 790 x 734 ) / 289930

= 790 / 734

= 790

Step2:

LCM(2, 498) = 498

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

= 2 / 498

= 2

Step3:

LCM(2, 298) = 298

GCD(2, 298) = ( 2 x 298 ) / 298

= 2 / 298

= 2

So, Greatest Common Divisor of 790, 734, 498, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 384, 334, 323
• GCD of 265, 469, 439, 872
• GCD of 925, 909, 496, 680
• GCD of 438, 689, 849, 623
• GCD of 992, 569, 688, 774

Given numbers are 790, 734, 498, 298
The greatest common divisor of numbers 790, 734, 498, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 734, 498, 298 is 2.

1. What is the GCD of 790, 734, 498, 298?

GCD of given numbers 790, 734, 498, 298 is 2

2. How to calculate the greatest common divisor of 790, 734, 498, 298?

We can find the highest common divisor of 790, 734, 498, 298 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 790, 734, 498, 298 i.e 2.

3. How can I use the GCD of 790, 734, 498, 298Calculator?

Out the numbers 790, 734, 498, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.