GCD of 748, 228, 820, 119 Calculator

Given Input numbers are 748, 228, 820, 119

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 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 119 :

The positive integer divisors of 119 that completely divides 119 are.

1, 7, 17, 119

GCD of numbers is the greatest common divisor

So, the GCD (748, 228, 820, 119) = 1.

Given numbers are 748, 228, 820, 119

The list of prime factors of all numbers are

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

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 119 are 7 x 17

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

Given numbers are 748, 228, 820, 119

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

Apply this formula for all numbers.

Step1:

LCM(748, 228) = 42636

GCD(748, 228) = ( 748 x 228 ) / 42636

= 748 / 228

= 748

Step2:

LCM(4, 820) = 820

GCD(4, 820) = ( 4 x 820 ) / 820

= 4 / 820

= 4

Step3:

LCM(4, 119) = 476

GCD(4, 119) = ( 4 x 119 ) / 476

= 4 / 119

= 4

So, Greatest Common Divisor of 748, 228, 820, 119 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 711, 661, 544
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Given numbers are 748, 228, 820, 119
The greatest common divisor of numbers 748, 228, 820, 119 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 228, 820, 119 is 1.

1. What is the GCD of 748, 228, 820, 119?

GCD of given numbers 748, 228, 820, 119 is 1

2. How to calculate the greatest common divisor of 748, 228, 820, 119?

We can find the highest common divisor of 748, 228, 820, 119 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, 228, 820, 119 i.e 1.

3. How can I use the GCD of 748, 228, 820, 119Calculator?

Out the numbers 748, 228, 820, 119 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.