GCD of 702, 298, 400, 838 Calculator

Given Input numbers are 702, 298, 400, 838

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

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 298 :

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

1, 2, 149, 298

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

GCD of numbers is the greatest common divisor

So, the GCD (702, 298, 400, 838) = 2.

Given numbers are 702, 298, 400, 838

The list of prime factors of all numbers are

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 298 are 2 x 149

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 838 are 2 x 419

The highest common occurrence is 2¹

Therefore, GCD of 702, 298, 400, 838 is 2.

Given numbers are 702, 298, 400, 838

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

Apply this formula for all numbers.

Step1:

LCM(702, 298) = 104598

GCD(702, 298) = ( 702 x 298 ) / 104598

= 702 / 298

= 702

Step2:

LCM(2, 400) = 400

GCD(2, 400) = ( 2 x 400 ) / 400

= 2 / 400

= 2

Step3:

LCM(2, 838) = 838

GCD(2, 838) = ( 2 x 838 ) / 838

= 2 / 838

= 2

So, Greatest Common Divisor of 702, 298, 400, 838 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 772, 665, 905
• GCD of 666, 107, 399, 617
• GCD of 808, 254, 793, 638
• GCD of 567, 990, 725, 919
• GCD of 159, 239, 475, 994

Given numbers are 702, 298, 400, 838
The greatest common divisor of numbers 702, 298, 400, 838 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 702, 298, 400, 838 is 2.

1. What is the GCD of 702, 298, 400, 838?

GCD of given numbers 702, 298, 400, 838 is 2

2. How to calculate the greatest common divisor of 702, 298, 400, 838?

We can find the highest common divisor of 702, 298, 400, 838 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 702, 298, 400, 838 i.e 2.

3. How can I use the GCD of 702, 298, 400, 838Calculator?

Out the numbers 702, 298, 400, 838 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.