GCD of 169, 120, 914, 170 Calculator

Given Input numbers are 169, 120, 914, 170

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 170 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (169, 120, 914, 170) = 1.

Given numbers are 169, 120, 914, 170

The list of prime factors of all numbers are

Prime factors of 169 are 13 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 914 are 2 x 457

Prime factors of 170 are 2 x 5 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 169, 120, 914, 170

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

Apply this formula for all numbers.

Step1:

LCM(169, 120) = 20280

GCD(169, 120) = ( 169 x 120 ) / 20280

= 169 / 120

= 169

Step2:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

Step3:

LCM(1, 170) = 170

GCD(1, 170) = ( 1 x 170 ) / 170

= 1 / 170

= 1

So, Greatest Common Divisor of 169, 120, 914, 170 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 790, 992, 572
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Given numbers are 169, 120, 914, 170
The greatest common divisor of numbers 169, 120, 914, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 169, 120, 914, 170 is 1.

1. What is the GCD of 169, 120, 914, 170?

GCD of given numbers 169, 120, 914, 170 is 1

2. How to calculate the greatest common divisor of 169, 120, 914, 170?

We can find the highest common divisor of 169, 120, 914, 170 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 169, 120, 914, 170 i.e 1.

3. How can I use the GCD of 169, 120, 914, 170Calculator?

Out the numbers 169, 120, 914, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.