GCD of 470, 125, 970, 705 Calculator

Given Input numbers are 470, 125, 970, 705

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

Divisors of 470 :

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

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

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (470, 125, 970, 705) = 5.

Given numbers are 470, 125, 970, 705

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 125 are 5 x 5 x 5

Prime factors of 970 are 2 x 5 x 97

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 5¹

Therefore, GCD of 470, 125, 970, 705 is 5.

Given numbers are 470, 125, 970, 705

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

Apply this formula for all numbers.

Step1:

LCM(470, 125) = 11750

GCD(470, 125) = ( 470 x 125 ) / 11750

= 470 / 125

= 470

Step2:

LCM(5, 970) = 970

GCD(5, 970) = ( 5 x 970 ) / 970

= 5 / 970

= 5

Step3:

LCM(5, 705) = 705

GCD(5, 705) = ( 5 x 705 ) / 705

= 5 / 705

= 5

So, Greatest Common Divisor of 470, 125, 970, 705 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 361, 399, 682, 548
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• GCD of 160, 192, 561, 695

Given numbers are 470, 125, 970, 705
The greatest common divisor of numbers 470, 125, 970, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 125, 970, 705 is 5.

1. What is the GCD of 470, 125, 970, 705?

GCD of given numbers 470, 125, 970, 705 is 5

2. How to calculate the greatest common divisor of 470, 125, 970, 705?

We can find the highest common divisor of 470, 125, 970, 705 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 470, 125, 970, 705 i.e 5.

3. How can I use the GCD of 470, 125, 970, 705Calculator?

Out the numbers 470, 125, 970, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.