GCD of 421, 669, 198, 748 Calculator

Given Input numbers are 421, 669, 198, 748

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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

GCD of numbers is the greatest common divisor

So, the GCD (421, 669, 198, 748) = 1.

Given numbers are 421, 669, 198, 748

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 669 are 3 x 223

Prime factors of 198 are 2 x 3 x 3 x 11

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

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

Given numbers are 421, 669, 198, 748

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

Apply this formula for all numbers.

Step1:

LCM(421, 669) = 281649

GCD(421, 669) = ( 421 x 669 ) / 281649

= 421 / 669

= 421

Step2:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 421, 669, 198, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 433, 237, 248
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• GCD of 461, 353, 203, 987
• GCD of 688, 569, 759, 134
• GCD of 136, 267, 296, 329

Given numbers are 421, 669, 198, 748
The greatest common divisor of numbers 421, 669, 198, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 669, 198, 748 is 1.

1. What is the GCD of 421, 669, 198, 748?

GCD of given numbers 421, 669, 198, 748 is 1

2. How to calculate the greatest common divisor of 421, 669, 198, 748?

We can find the highest common divisor of 421, 669, 198, 748 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 421, 669, 198, 748 i.e 1.

3. How can I use the GCD of 421, 669, 198, 748Calculator?

Out the numbers 421, 669, 198, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.