GCD of 175, 170, 970 Calculator

Given Input numbers are 175, 170, 970

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 970 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (175, 170, 970) = 5.

Given numbers are 175, 170, 970

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 170 are 2 x 5 x 17

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 5¹

Therefore, GCD of 175, 170, 970 is 5.

Given numbers are 175, 170, 970

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

Apply this formula for all numbers.

Step1:

LCM(175, 170) = 5950

GCD(175, 170) = ( 175 x 170 ) / 5950

= 175 / 170

= 175

Step2:

LCM(5, 970) = 970

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

= 5 / 970

= 5

So, Greatest Common Divisor of 175, 170, 970 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 517, 374
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Given numbers are 175, 170, 970
The greatest common divisor of numbers 175, 170, 970 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 170, 970 is 5.

1. What is the GCD of 175, 170, 970?

GCD of given numbers 175, 170, 970 is 5

2. How to calculate the greatest common divisor of 175, 170, 970?

We can find the highest common divisor of 175, 170, 970 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 175, 170, 970 i.e 5.

3. How can I use the GCD of 175, 170, 970Calculator?

Out the numbers 175, 170, 970 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.