GCD of 802, 148, 400, 146 Calculator

Given Input numbers are 802, 148, 400, 146

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

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

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 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

GCD of numbers is the greatest common divisor

So, the GCD (802, 148, 400, 146) = 2.

Given numbers are 802, 148, 400, 146

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

Prime factors of 148 are 2 x 2 x 37

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

Prime factors of 146 are 2 x 73

The highest common occurrence is 2¹

Therefore, GCD of 802, 148, 400, 146 is 2.

Given numbers are 802, 148, 400, 146

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

Apply this formula for all numbers.

Step1:

LCM(802, 148) = 59348

GCD(802, 148) = ( 802 x 148 ) / 59348

= 802 / 148

= 802

Step2:

LCM(2, 400) = 400

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

= 2 / 400

= 2

Step3:

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

= 2 / 146

= 2

So, Greatest Common Divisor of 802, 148, 400, 146 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 167, 751, 475, 980
• GCD of 591, 969, 391, 123
• GCD of 283, 472, 924, 893
• GCD of 410, 896, 133, 164
• GCD of 791, 910, 186, 467

Given numbers are 802, 148, 400, 146
The greatest common divisor of numbers 802, 148, 400, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 148, 400, 146 is 2.

1. What is the GCD of 802, 148, 400, 146?

GCD of given numbers 802, 148, 400, 146 is 2

2. How to calculate the greatest common divisor of 802, 148, 400, 146?

We can find the highest common divisor of 802, 148, 400, 146 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 802, 148, 400, 146 i.e 2.

3. How can I use the GCD of 802, 148, 400, 146Calculator?

Out the numbers 802, 148, 400, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.