GCD of 747, 267, 144, 709 Calculator

Given Input numbers are 747, 267, 144, 709

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (747, 267, 144, 709) = 1.

Given numbers are 747, 267, 144, 709

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 267 are 3 x 89

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 709 are 709

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

Given numbers are 747, 267, 144, 709

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

Apply this formula for all numbers.

Step1:

LCM(747, 267) = 66483

GCD(747, 267) = ( 747 x 267 ) / 66483

= 747 / 267

= 747

Step2:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

Step3:

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

= 3 / 709

= 3

So, Greatest Common Divisor of 747, 267, 144, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 474, 363, 610
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• GCD of 853, 999, 264, 121
• GCD of 374, 647, 108, 902
• GCD of 618, 855, 276, 675

Given numbers are 747, 267, 144, 709
The greatest common divisor of numbers 747, 267, 144, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 267, 144, 709 is 1.

1. What is the GCD of 747, 267, 144, 709?

GCD of given numbers 747, 267, 144, 709 is 1

2. How to calculate the greatest common divisor of 747, 267, 144, 709?

We can find the highest common divisor of 747, 267, 144, 709 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 747, 267, 144, 709 i.e 1.

3. How can I use the GCD of 747, 267, 144, 709Calculator?

Out the numbers 747, 267, 144, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.