GCD of 161, 371, 735, 959 Calculator

Given Input numbers are 161, 371, 735, 959

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

Divisors of 161 :

The positive integer divisors of 161 that completely divides 161 are.

1, 7, 23, 161

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 959 :

The positive integer divisors of 959 that completely divides 959 are.

1, 7, 137, 959

GCD of numbers is the greatest common divisor

So, the GCD (161, 371, 735, 959) = 7.

Given numbers are 161, 371, 735, 959

The list of prime factors of all numbers are

Prime factors of 161 are 7 x 23

Prime factors of 371 are 7 x 53

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 959 are 7 x 137

The highest common occurrence is 7¹

Therefore, GCD of 161, 371, 735, 959 is 7.

Given numbers are 161, 371, 735, 959

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

Apply this formula for all numbers.

Step1:

LCM(161, 371) = 8533

GCD(161, 371) = ( 161 x 371 ) / 8533

= 161 / 371

= 161

Step2:

LCM(7, 735) = 735

GCD(7, 735) = ( 7 x 735 ) / 735

= 7 / 735

= 7

Step3:

LCM(7, 959) = 959

GCD(7, 959) = ( 7 x 959 ) / 959

= 7 / 959

= 7

So, Greatest Common Divisor of 161, 371, 735, 959 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 465, 226, 419, 279
• GCD of 130, 246, 268, 194
• GCD of 456, 667, 492, 675
• GCD of 795, 466, 658, 286
• GCD of 405, 343, 995, 422

Given numbers are 161, 371, 735, 959
The greatest common divisor of numbers 161, 371, 735, 959 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 161, 371, 735, 959 is 7.

1. What is the GCD of 161, 371, 735, 959?

GCD of given numbers 161, 371, 735, 959 is 7

2. How to calculate the greatest common divisor of 161, 371, 735, 959?

We can find the highest common divisor of 161, 371, 735, 959 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 161, 371, 735, 959 i.e 7.

3. How can I use the GCD of 161, 371, 735, 959Calculator?

Out the numbers 161, 371, 735, 959 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.