GCD of 590, 490, 674, 898 Calculator

Given Input numbers are 590, 490, 674, 898

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

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (590, 490, 674, 898) = 2.

Given numbers are 590, 490, 674, 898

The list of prime factors of all numbers are

Prime factors of 590 are 2 x 5 x 59

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 674 are 2 x 337

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 590, 490, 674, 898 is 2.

Given numbers are 590, 490, 674, 898

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

Apply this formula for all numbers.

Step1:

LCM(590, 490) = 28910

GCD(590, 490) = ( 590 x 490 ) / 28910

= 590 / 490

= 590

Step2:

LCM(10, 674) = 3370

GCD(10, 674) = ( 10 x 674 ) / 3370

= 10 / 674

= 10

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 590, 490, 674, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 617, 523, 853, 644
• GCD of 895, 883, 680, 780
• GCD of 688, 193, 282, 908
• GCD of 600, 178, 142, 796
• GCD of 999, 569, 105, 528

Given numbers are 590, 490, 674, 898
The greatest common divisor of numbers 590, 490, 674, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 590, 490, 674, 898 is 2.

1. What is the GCD of 590, 490, 674, 898?

GCD of given numbers 590, 490, 674, 898 is 2

2. How to calculate the greatest common divisor of 590, 490, 674, 898?

We can find the highest common divisor of 590, 490, 674, 898 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 590, 490, 674, 898 i.e 2.

3. How can I use the GCD of 590, 490, 674, 898Calculator?

Out the numbers 590, 490, 674, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.