GCD of 145, 735, 45 Calculator

Given Input numbers are 145, 735, 45

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

Divisors of 145 :

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

1, 5, 29, 145

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 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

GCD of numbers is the greatest common divisor

So, the GCD (145, 735, 45) = 5.

Given numbers are 145, 735, 45

The list of prime factors of all numbers are

Prime factors of 145 are 5 x 29

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

Prime factors of 45 are 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 145, 735, 45 is 5.

Given numbers are 145, 735, 45

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

Apply this formula for all numbers.

Step1:

LCM(145, 735) = 21315

GCD(145, 735) = ( 145 x 735 ) / 21315

= 145 / 735

= 145

Step2:

LCM(5, 45) = 45

GCD(5, 45) = ( 5 x 45 ) / 45

= 5 / 45

= 5

So, Greatest Common Divisor of 145, 735, 45 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 938, 74
• GCD of 383, 621, 84
• GCD of 557, 939, 16
• GCD of 174, 942, 93
• GCD of 154, 509, 14

Given numbers are 145, 735, 45
The greatest common divisor of numbers 145, 735, 45 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 145, 735, 45 is 5.

1. What is the GCD of 145, 735, 45?

GCD of given numbers 145, 735, 45 is 5

2. How to calculate the greatest common divisor of 145, 735, 45?

We can find the highest common divisor of 145, 735, 45 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 145, 735, 45 i.e 5.

3. How can I use the GCD of 145, 735, 45Calculator?

Out the numbers 145, 735, 45 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.