GCD of 538, 620, 726, 380 Calculator

Given Input numbers are 538, 620, 726, 380

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

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (538, 620, 726, 380) = 2.

Given numbers are 538, 620, 726, 380

The list of prime factors of all numbers are

Prime factors of 538 are 2 x 269

Prime factors of 620 are 2 x 2 x 5 x 31

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

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 2¹

Therefore, GCD of 538, 620, 726, 380 is 2.

Given numbers are 538, 620, 726, 380

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

Apply this formula for all numbers.

Step1:

LCM(538, 620) = 166780

GCD(538, 620) = ( 538 x 620 ) / 166780

= 538 / 620

= 538

Step2:

LCM(2, 726) = 726

GCD(2, 726) = ( 2 x 726 ) / 726

= 2 / 726

= 2

Step3:

LCM(2, 380) = 380

GCD(2, 380) = ( 2 x 380 ) / 380

= 2 / 380

= 2

So, Greatest Common Divisor of 538, 620, 726, 380 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 761, 117, 257
• GCD of 696, 266, 943, 262
• GCD of 704, 392, 403, 179
• GCD of 439, 704, 260, 905
• GCD of 989, 844, 888, 892

Given numbers are 538, 620, 726, 380
The greatest common divisor of numbers 538, 620, 726, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 538, 620, 726, 380 is 2.

1. What is the GCD of 538, 620, 726, 380?

GCD of given numbers 538, 620, 726, 380 is 2

2. How to calculate the greatest common divisor of 538, 620, 726, 380?

We can find the highest common divisor of 538, 620, 726, 380 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 538, 620, 726, 380 i.e 2.

3. How can I use the GCD of 538, 620, 726, 380Calculator?

Out the numbers 538, 620, 726, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.