GCD of 402, 416, 708, 740 Calculator

Given Input numbers are 402, 416, 708, 740

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

Divisors of 402 :

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

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

GCD of numbers is the greatest common divisor

So, the GCD (402, 416, 708, 740) = 2.

Given numbers are 402, 416, 708, 740

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 708 are 2 x 2 x 3 x 59

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

The highest common occurrence is 2¹

Therefore, GCD of 402, 416, 708, 740 is 2.

Given numbers are 402, 416, 708, 740

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

Apply this formula for all numbers.

Step1:

LCM(402, 416) = 83616

GCD(402, 416) = ( 402 x 416 ) / 83616

= 402 / 416

= 402

Step2:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

Step3:

LCM(2, 740) = 740

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

= 2 / 740

= 2

So, Greatest Common Divisor of 402, 416, 708, 740 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 489, 393, 843
• GCD of 833, 484, 562, 512
• GCD of 814, 394, 168, 609
• GCD of 361, 158, 648, 303
• GCD of 469, 420, 314, 339

Given numbers are 402, 416, 708, 740
The greatest common divisor of numbers 402, 416, 708, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 416, 708, 740 is 2.

1. What is the GCD of 402, 416, 708, 740?

GCD of given numbers 402, 416, 708, 740 is 2

2. How to calculate the greatest common divisor of 402, 416, 708, 740?

We can find the highest common divisor of 402, 416, 708, 740 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 402, 416, 708, 740 i.e 2.

3. How can I use the GCD of 402, 416, 708, 740Calculator?

Out the numbers 402, 416, 708, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.