GCD of 105, 498, 145, 265 Calculator

Given Input numbers are 105, 498, 145, 265

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 145 :

The positive integer divisors of 145 that completely divides 145 are.

1, 5, 29, 145

Divisors of 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

GCD of numbers is the greatest common divisor

So, the GCD (105, 498, 145, 265) = 1.

Given numbers are 105, 498, 145, 265

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 145 are 5 x 29

Prime factors of 265 are 5 x 53

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

Given numbers are 105, 498, 145, 265

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

Apply this formula for all numbers.

Step1:

LCM(105, 498) = 17430

GCD(105, 498) = ( 105 x 498 ) / 17430

= 105 / 498

= 105

Step2:

LCM(3, 145) = 435

GCD(3, 145) = ( 3 x 145 ) / 435

= 3 / 145

= 3

Step3:

LCM(1, 265) = 265

GCD(1, 265) = ( 1 x 265 ) / 265

= 1 / 265

= 1

So, Greatest Common Divisor of 105, 498, 145, 265 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 568, 872, 248
• GCD of 632, 678, 546, 243
• GCD of 843, 465, 954, 506
• GCD of 916, 756, 122, 146
• GCD of 490, 785, 875, 500

Given numbers are 105, 498, 145, 265
The greatest common divisor of numbers 105, 498, 145, 265 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 498, 145, 265 is 1.

1. What is the GCD of 105, 498, 145, 265?

GCD of given numbers 105, 498, 145, 265 is 1

2. How to calculate the greatest common divisor of 105, 498, 145, 265?

We can find the highest common divisor of 105, 498, 145, 265 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 105, 498, 145, 265 i.e 1.

3. How can I use the GCD of 105, 498, 145, 265Calculator?

Out the numbers 105, 498, 145, 265 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.