GCD of 476, 108, 414, 702 Calculator

Given Input numbers are 476, 108, 414, 702

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

Divisors of 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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 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

GCD of numbers is the greatest common divisor

So, the GCD (476, 108, 414, 702) = 2.

Given numbers are 476, 108, 414, 702

The list of prime factors of all numbers are

Prime factors of 476 are 2 x 2 x 7 x 17

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

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

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

The highest common occurrence is 2¹

Therefore, GCD of 476, 108, 414, 702 is 2.

Given numbers are 476, 108, 414, 702

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

Apply this formula for all numbers.

Step1:

LCM(476, 108) = 12852

GCD(476, 108) = ( 476 x 108 ) / 12852

= 476 / 108

= 476

Step2:

LCM(4, 414) = 828

GCD(4, 414) = ( 4 x 414 ) / 828

= 4 / 414

= 4

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 476, 108, 414, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 615, 829, 107
• GCD of 450, 970, 108, 652
• GCD of 559, 605, 686, 700
• GCD of 824, 451, 513, 282
• GCD of 510, 133, 834, 309

Given numbers are 476, 108, 414, 702
The greatest common divisor of numbers 476, 108, 414, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 108, 414, 702 is 2.

1. What is the GCD of 476, 108, 414, 702?

GCD of given numbers 476, 108, 414, 702 is 2

2. How to calculate the greatest common divisor of 476, 108, 414, 702?

We can find the highest common divisor of 476, 108, 414, 702 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 476, 108, 414, 702 i.e 2.

3. How can I use the GCD of 476, 108, 414, 702Calculator?

Out the numbers 476, 108, 414, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.