GCD of 165, 735, 989, 260 Calculator

Given Input numbers are 165, 735, 989, 260

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

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

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 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD of numbers is the greatest common divisor

So, the GCD (165, 735, 989, 260) = 1.

Given numbers are 165, 735, 989, 260

The list of prime factors of all numbers are

Prime factors of 165 are 3 x 5 x 11

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

Prime factors of 989 are 23 x 43

Prime factors of 260 are 2 x 2 x 5 x 13

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

Given numbers are 165, 735, 989, 260

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

Apply this formula for all numbers.

Step1:

LCM(165, 735) = 8085

GCD(165, 735) = ( 165 x 735 ) / 8085

= 165 / 735

= 165

Step2:

LCM(15, 989) = 14835

GCD(15, 989) = ( 15 x 989 ) / 14835

= 15 / 989

= 15

Step3:

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

= 1 / 260

= 1

So, Greatest Common Divisor of 165, 735, 989, 260 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 373, 852, 103
• GCD of 204, 505, 930, 289
• GCD of 232, 329, 879, 118
• GCD of 270, 504, 533, 590
• GCD of 109, 588, 841, 715

Given numbers are 165, 735, 989, 260
The greatest common divisor of numbers 165, 735, 989, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 165, 735, 989, 260 is 1.

1. What is the GCD of 165, 735, 989, 260?

GCD of given numbers 165, 735, 989, 260 is 1

2. How to calculate the greatest common divisor of 165, 735, 989, 260?

We can find the highest common divisor of 165, 735, 989, 260 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 165, 735, 989, 260 i.e 1.

3. How can I use the GCD of 165, 735, 989, 260Calculator?

Out the numbers 165, 735, 989, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.