GCD of 698, 490, 262, 596 Calculator

Given Input numbers are 698, 490, 262, 596

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

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 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (698, 490, 262, 596) = 2.

Given numbers are 698, 490, 262, 596

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

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

Prime factors of 262 are 2 x 131

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 698, 490, 262, 596 is 2.

Given numbers are 698, 490, 262, 596

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

Apply this formula for all numbers.

Step1:

LCM(698, 490) = 171010

GCD(698, 490) = ( 698 x 490 ) / 171010

= 698 / 490

= 698

Step2:

LCM(2, 262) = 262

GCD(2, 262) = ( 2 x 262 ) / 262

= 2 / 262

= 2

Step3:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

So, Greatest Common Divisor of 698, 490, 262, 596 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 820, 952, 965
• GCD of 742, 566, 322, 760
• GCD of 801, 324, 949, 569
• GCD of 251, 295, 663, 908
• GCD of 492, 940, 623, 784

Given numbers are 698, 490, 262, 596
The greatest common divisor of numbers 698, 490, 262, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 490, 262, 596 is 2.

1. What is the GCD of 698, 490, 262, 596?

GCD of given numbers 698, 490, 262, 596 is 2

2. How to calculate the greatest common divisor of 698, 490, 262, 596?

We can find the highest common divisor of 698, 490, 262, 596 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 698, 490, 262, 596 i.e 2.

3. How can I use the GCD of 698, 490, 262, 596Calculator?

Out the numbers 698, 490, 262, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.