GCD of 723, 948, 496, 731 Calculator

Given Input numbers are 723, 948, 496, 731

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 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

GCD of numbers is the greatest common divisor

So, the GCD (723, 948, 496, 731) = 1.

Given numbers are 723, 948, 496, 731

The list of prime factors of all numbers are

Prime factors of 723 are 3 x 241

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 731 are 17 x 43

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

Given numbers are 723, 948, 496, 731

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

Apply this formula for all numbers.

Step1:

LCM(723, 948) = 228468

GCD(723, 948) = ( 723 x 948 ) / 228468

= 723 / 948

= 723

Step2:

LCM(3, 496) = 1488

GCD(3, 496) = ( 3 x 496 ) / 1488

= 3 / 496

= 3

Step3:

LCM(1, 731) = 731

GCD(1, 731) = ( 1 x 731 ) / 731

= 1 / 731

= 1

So, Greatest Common Divisor of 723, 948, 496, 731 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 183, 528, 638
• GCD of 358, 654, 773, 105
• GCD of 817, 831, 516, 525
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• GCD of 953, 787, 396, 705

Given numbers are 723, 948, 496, 731
The greatest common divisor of numbers 723, 948, 496, 731 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 723, 948, 496, 731 is 1.

1. What is the GCD of 723, 948, 496, 731?

GCD of given numbers 723, 948, 496, 731 is 1

2. How to calculate the greatest common divisor of 723, 948, 496, 731?

We can find the highest common divisor of 723, 948, 496, 731 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, 948, 496, 731 i.e 1.

3. How can I use the GCD of 723, 948, 496, 731Calculator?

Out the numbers 723, 948, 496, 731 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.