GCD of 748, 916, 107, 898 Calculator

Given Input numbers are 748, 916, 107, 898

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 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (748, 916, 107, 898) = 1.

Given numbers are 748, 916, 107, 898

The list of prime factors of all numbers are

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

Prime factors of 916 are 2 x 2 x 229

Prime factors of 107 are 107

Prime factors of 898 are 2 x 449

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

Given numbers are 748, 916, 107, 898

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

Apply this formula for all numbers.

Step1:

LCM(748, 916) = 171292

GCD(748, 916) = ( 748 x 916 ) / 171292

= 748 / 916

= 748

Step2:

LCM(4, 107) = 428

GCD(4, 107) = ( 4 x 107 ) / 428

= 4 / 107

= 4

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 748, 916, 107, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 786, 780, 840, 153
• GCD of 827, 281, 235, 737
• GCD of 443, 901, 923, 103
• GCD of 685, 927, 913, 956
• GCD of 352, 683, 101, 452

Given numbers are 748, 916, 107, 898
The greatest common divisor of numbers 748, 916, 107, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 916, 107, 898 is 1.

1. What is the GCD of 748, 916, 107, 898?

GCD of given numbers 748, 916, 107, 898 is 1

2. How to calculate the greatest common divisor of 748, 916, 107, 898?

We can find the highest common divisor of 748, 916, 107, 898 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, 916, 107, 898 i.e 1.

3. How can I use the GCD of 748, 916, 107, 898Calculator?

Out the numbers 748, 916, 107, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.