GCD of 698, 460, 740, 796 Calculator

Given Input numbers are 698, 460, 740, 796

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

GCD of numbers is the greatest common divisor

So, the GCD (698, 460, 740, 796) = 2.

Given numbers are 698, 460, 740, 796

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 796 are 2 x 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 698, 460, 740, 796 is 2.

Given numbers are 698, 460, 740, 796

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

Apply this formula for all numbers.

Step1:

LCM(698, 460) = 160540

GCD(698, 460) = ( 698 x 460 ) / 160540

= 698 / 460

= 698

Step2:

LCM(2, 740) = 740

GCD(2, 740) = ( 2 x 740 ) / 740

= 2 / 740

= 2

Step3:

LCM(2, 796) = 796

GCD(2, 796) = ( 2 x 796 ) / 796

= 2 / 796

= 2

So, Greatest Common Divisor of 698, 460, 740, 796 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 246, 424, 115, 183
• GCD of 701, 291, 297, 690
• GCD of 803, 763, 788, 784
• GCD of 834, 204, 163, 762
• GCD of 360, 596, 347, 970

Given numbers are 698, 460, 740, 796
The greatest common divisor of numbers 698, 460, 740, 796 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 460, 740, 796 is 2.

1. What is the GCD of 698, 460, 740, 796?

GCD of given numbers 698, 460, 740, 796 is 2

2. How to calculate the greatest common divisor of 698, 460, 740, 796?

We can find the highest common divisor of 698, 460, 740, 796 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, 460, 740, 796 i.e 2.

3. How can I use the GCD of 698, 460, 740, 796Calculator?

Out the numbers 698, 460, 740, 796 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.