GCD of 147, 117, 723 Calculator

Given Input numbers are 147, 117, 723

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (147, 117, 723) = 3.

Given numbers are 147, 117, 723

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 117 are 3 x 3 x 13

Prime factors of 723 are 3 x 241

The highest common occurrence is 3¹

Therefore, GCD of 147, 117, 723 is 3.

Given numbers are 147, 117, 723

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

Apply this formula for all numbers.

Step1:

LCM(147, 117) = 5733

GCD(147, 117) = ( 147 x 117 ) / 5733

= 147 / 117

= 147

Step2:

LCM(3, 723) = 723

GCD(3, 723) = ( 3 x 723 ) / 723

= 3 / 723

= 3

So, Greatest Common Divisor of 147, 117, 723 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 109, 661
• GCD of 543, 541, 742
• GCD of 509, 339, 611
• GCD of 526, 664, 477
• GCD of 333, 766, 719

Given numbers are 147, 117, 723
The greatest common divisor of numbers 147, 117, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 117, 723 is 3.

1. What is the GCD of 147, 117, 723?

GCD of given numbers 147, 117, 723 is 3

2. How to calculate the greatest common divisor of 147, 117, 723?

We can find the highest common divisor of 147, 117, 723 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 147, 117, 723 i.e 3.

3. How can I use the GCD of 147, 117, 723Calculator?

Out the numbers 147, 117, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.