GCD of 700, 470, 108, 478 Calculator

Given Input numbers are 700, 470, 108, 478

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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 478 :

The positive integer divisors of 478 that completely divides 478 are.

1, 2, 239, 478

GCD of numbers is the greatest common divisor

So, the GCD (700, 470, 108, 478) = 2.

Given numbers are 700, 470, 108, 478

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 470 are 2 x 5 x 47

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

Prime factors of 478 are 2 x 239

The highest common occurrence is 2¹

Therefore, GCD of 700, 470, 108, 478 is 2.

Given numbers are 700, 470, 108, 478

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

Apply this formula for all numbers.

Step1:

LCM(700, 470) = 32900

GCD(700, 470) = ( 700 x 470 ) / 32900

= 700 / 470

= 700

Step2:

LCM(10, 108) = 540

GCD(10, 108) = ( 10 x 108 ) / 540

= 10 / 108

= 10

Step3:

LCM(2, 478) = 478

GCD(2, 478) = ( 2 x 478 ) / 478

= 2 / 478

= 2

So, Greatest Common Divisor of 700, 470, 108, 478 is 2

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Given numbers are 700, 470, 108, 478
The greatest common divisor of numbers 700, 470, 108, 478 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 470, 108, 478 is 2.

1. What is the GCD of 700, 470, 108, 478?

GCD of given numbers 700, 470, 108, 478 is 2

2. How to calculate the greatest common divisor of 700, 470, 108, 478?

We can find the highest common divisor of 700, 470, 108, 478 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 700, 470, 108, 478 i.e 2.

3. How can I use the GCD of 700, 470, 108, 478Calculator?

Out the numbers 700, 470, 108, 478 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.