GCD of 261, 600, 714, 438 Calculator

Given Input numbers are 261, 600, 714, 438

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

Divisors of 261 :

The positive integer divisors of 261 that completely divides 261 are.

1, 3, 9, 29, 87, 261

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

GCD of numbers is the greatest common divisor

So, the GCD (261, 600, 714, 438) = 3.

Given numbers are 261, 600, 714, 438

The list of prime factors of all numbers are

Prime factors of 261 are 3 x 3 x 29

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 3¹

Therefore, GCD of 261, 600, 714, 438 is 3.

Given numbers are 261, 600, 714, 438

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

Apply this formula for all numbers.

Step1:

LCM(261, 600) = 52200

GCD(261, 600) = ( 261 x 600 ) / 52200

= 261 / 600

= 261

Step2:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

Step3:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

So, Greatest Common Divisor of 261, 600, 714, 438 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 365, 356, 826, 776
• GCD of 857, 187, 792, 248
• GCD of 969, 718, 537, 459
• GCD of 520, 323, 899, 976
• GCD of 679, 588, 806, 695

Given numbers are 261, 600, 714, 438
The greatest common divisor of numbers 261, 600, 714, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 261, 600, 714, 438 is 3.

1. What is the GCD of 261, 600, 714, 438?

GCD of given numbers 261, 600, 714, 438 is 3

2. How to calculate the greatest common divisor of 261, 600, 714, 438?

We can find the highest common divisor of 261, 600, 714, 438 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 261, 600, 714, 438 i.e 3.

3. How can I use the GCD of 261, 600, 714, 438Calculator?

Out the numbers 261, 600, 714, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.