GCD of 550, 491, 748, 724 Calculator

Given Input numbers are 550, 491, 748, 724

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (550, 491, 748, 724) = 1.

Given numbers are 550, 491, 748, 724

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 491 are 491

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 550, 491, 748, 724

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

Apply this formula for all numbers.

Step1:

LCM(550, 491) = 270050

GCD(550, 491) = ( 550 x 491 ) / 270050

= 550 / 491

= 550

Step2:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 550, 491, 748, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 288, 878, 491
• GCD of 966, 415, 497, 623
• GCD of 310, 200, 880, 126
• GCD of 977, 253, 316, 843
• GCD of 613, 377, 892, 739

Given numbers are 550, 491, 748, 724
The greatest common divisor of numbers 550, 491, 748, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 491, 748, 724 is 1.

1. What is the GCD of 550, 491, 748, 724?

GCD of given numbers 550, 491, 748, 724 is 1

2. How to calculate the greatest common divisor of 550, 491, 748, 724?

We can find the highest common divisor of 550, 491, 748, 724 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 550, 491, 748, 724 i.e 1.

3. How can I use the GCD of 550, 491, 748, 724Calculator?

Out the numbers 550, 491, 748, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.