GCD of 723, 105, 248, 147 Calculator

Given Input numbers are 723, 105, 248, 147

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

Divisors of 723 :

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

1, 3, 241, 723

Divisors of 105 :

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

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

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (723, 105, 248, 147) = 1.

Given numbers are 723, 105, 248, 147

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 105 are 3 x 5 x 7

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 147 are 3 x 7 x 7

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

Given numbers are 723, 105, 248, 147

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

Apply this formula for all numbers.

Step1:

LCM(723, 105) = 25305

GCD(723, 105) = ( 723 x 105 ) / 25305

= 723 / 105

= 723

Step2:

LCM(3, 248) = 744

GCD(3, 248) = ( 3 x 248 ) / 744

= 3 / 248

= 3

Step3:

LCM(1, 147) = 147

GCD(1, 147) = ( 1 x 147 ) / 147

= 1 / 147

= 1

So, Greatest Common Divisor of 723, 105, 248, 147 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 991, 171, 441
• GCD of 123, 902, 587, 341
• GCD of 926, 340, 879, 379
• GCD of 578, 797, 415, 638
• GCD of 308, 945, 117, 165

Given numbers are 723, 105, 248, 147
The greatest common divisor of numbers 723, 105, 248, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 105, 248, 147 is 1.

1. What is the GCD of 723, 105, 248, 147?

GCD of given numbers 723, 105, 248, 147 is 1

2. How to calculate the greatest common divisor of 723, 105, 248, 147?

We can find the highest common divisor of 723, 105, 248, 147 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 723, 105, 248, 147 i.e 1.

3. How can I use the GCD of 723, 105, 248, 147Calculator?

Out the numbers 723, 105, 248, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.