GCD of 748, 218, 87, 925 Calculator

Given Input numbers are 748, 218, 87, 925

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

GCD of numbers is the greatest common divisor

So, the GCD (748, 218, 87, 925) = 1.

Given numbers are 748, 218, 87, 925

The list of prime factors of all numbers are

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

Prime factors of 218 are 2 x 109

Prime factors of 87 are 3 x 29

Prime factors of 925 are 5 x 5 x 37

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

Given numbers are 748, 218, 87, 925

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

Apply this formula for all numbers.

Step1:

LCM(748, 218) = 81532

GCD(748, 218) = ( 748 x 218 ) / 81532

= 748 / 218

= 748

Step2:

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

= 2 / 87

= 2

Step3:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1

So, Greatest Common Divisor of 748, 218, 87, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 578, 93, 936
• GCD of 869, 315, 86, 192
• GCD of 881, 377, 10, 185
• GCD of 129, 526, 36, 389
• GCD of 407, 406, 31, 448

Given numbers are 748, 218, 87, 925
The greatest common divisor of numbers 748, 218, 87, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 218, 87, 925 is 1.

1. What is the GCD of 748, 218, 87, 925?

GCD of given numbers 748, 218, 87, 925 is 1

2. How to calculate the greatest common divisor of 748, 218, 87, 925?

We can find the highest common divisor of 748, 218, 87, 925 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, 218, 87, 925 i.e 1.

3. How can I use the GCD of 748, 218, 87, 925Calculator?

Out the numbers 748, 218, 87, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.