GCD of 267, 420, 398, 726 Calculator

Given Input numbers are 267, 420, 398, 726

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

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (267, 420, 398, 726) = 1.

Given numbers are 267, 420, 398, 726

The list of prime factors of all numbers are

Prime factors of 267 are 3 x 89

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 398 are 2 x 199

Prime factors of 726 are 2 x 3 x 11 x 11

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

Given numbers are 267, 420, 398, 726

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

Apply this formula for all numbers.

Step1:

LCM(267, 420) = 37380

GCD(267, 420) = ( 267 x 420 ) / 37380

= 267 / 420

= 267

Step2:

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

= 3 / 398

= 3

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 267, 420, 398, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 666, 639, 184
• GCD of 170, 603, 987, 807
• GCD of 382, 201, 912, 756
• GCD of 709, 881, 936, 608
• GCD of 944, 547, 579, 141

Given numbers are 267, 420, 398, 726
The greatest common divisor of numbers 267, 420, 398, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 267, 420, 398, 726 is 1.

1. What is the GCD of 267, 420, 398, 726?

GCD of given numbers 267, 420, 398, 726 is 1

2. How to calculate the greatest common divisor of 267, 420, 398, 726?

We can find the highest common divisor of 267, 420, 398, 726 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 267, 420, 398, 726 i.e 1.

3. How can I use the GCD of 267, 420, 398, 726Calculator?

Out the numbers 267, 420, 398, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.