GCD of 414, 490, 746, 402 Calculator

Given Input numbers are 414, 490, 746, 402

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

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (414, 490, 746, 402) = 2.

Given numbers are 414, 490, 746, 402

The list of prime factors of all numbers are

Prime factors of 414 are 2 x 3 x 3 x 23

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

Prime factors of 746 are 2 x 373

Prime factors of 402 are 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 414, 490, 746, 402 is 2.

Given numbers are 414, 490, 746, 402

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

Apply this formula for all numbers.

Step1:

LCM(414, 490) = 101430

GCD(414, 490) = ( 414 x 490 ) / 101430

= 414 / 490

= 414

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 402) = 402

GCD(2, 402) = ( 2 x 402 ) / 402

= 2 / 402

= 2

So, Greatest Common Divisor of 414, 490, 746, 402 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 206, 186, 373, 820
• GCD of 372, 177, 480, 481
• GCD of 832, 256, 687, 508
• GCD of 228, 372, 404, 920
• GCD of 890, 248, 541, 310

Given numbers are 414, 490, 746, 402
The greatest common divisor of numbers 414, 490, 746, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 414, 490, 746, 402 is 2.

1. What is the GCD of 414, 490, 746, 402?

GCD of given numbers 414, 490, 746, 402 is 2

2. How to calculate the greatest common divisor of 414, 490, 746, 402?

We can find the highest common divisor of 414, 490, 746, 402 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 414, 490, 746, 402 i.e 2.

3. How can I use the GCD of 414, 490, 746, 402Calculator?

Out the numbers 414, 490, 746, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.