GCD of 748, 209, 916, 849 Calculator

Given Input numbers are 748, 209, 916, 849

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

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 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

GCD of numbers is the greatest common divisor

So, the GCD (748, 209, 916, 849) = 1.

Given numbers are 748, 209, 916, 849

The list of prime factors of all numbers are

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

Prime factors of 209 are 11 x 19

Prime factors of 916 are 2 x 2 x 229

Prime factors of 849 are 3 x 283

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

Given numbers are 748, 209, 916, 849

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

Apply this formula for all numbers.

Step1:

LCM(748, 209) = 14212

GCD(748, 209) = ( 748 x 209 ) / 14212

= 748 / 209

= 748

Step2:

LCM(11, 916) = 10076

GCD(11, 916) = ( 11 x 916 ) / 10076

= 11 / 916

= 11

Step3:

LCM(1, 849) = 849

GCD(1, 849) = ( 1 x 849 ) / 849

= 1 / 849

= 1

So, Greatest Common Divisor of 748, 209, 916, 849 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 368, 543, 318
• GCD of 846, 456, 356, 329
• GCD of 732, 893, 853, 544
• GCD of 537, 681, 826, 931
• GCD of 947, 899, 717, 976

Given numbers are 748, 209, 916, 849
The greatest common divisor of numbers 748, 209, 916, 849 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 209, 916, 849 is 1.

1. What is the GCD of 748, 209, 916, 849?

GCD of given numbers 748, 209, 916, 849 is 1

2. How to calculate the greatest common divisor of 748, 209, 916, 849?

We can find the highest common divisor of 748, 209, 916, 849 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 748, 209, 916, 849 i.e 1.

3. How can I use the GCD of 748, 209, 916, 849Calculator?

Out the numbers 748, 209, 916, 849 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.