GCD of 540, 134, 698, 994 Calculator

Given Input numbers are 540, 134, 698, 994

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

Divisors of 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

GCD of numbers is the greatest common divisor

So, the GCD (540, 134, 698, 994) = 2.

Given numbers are 540, 134, 698, 994

The list of prime factors of all numbers are

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 134 are 2 x 67

Prime factors of 698 are 2 x 349

Prime factors of 994 are 2 x 7 x 71

The highest common occurrence is 2¹

Therefore, GCD of 540, 134, 698, 994 is 2.

Given numbers are 540, 134, 698, 994

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

Apply this formula for all numbers.

Step1:

LCM(540, 134) = 36180

GCD(540, 134) = ( 540 x 134 ) / 36180

= 540 / 134

= 540

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 994) = 994

GCD(2, 994) = ( 2 x 994 ) / 994

= 2 / 994

= 2

So, Greatest Common Divisor of 540, 134, 698, 994 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 411, 604, 901
• GCD of 414, 839, 771, 961
• GCD of 412, 126, 691, 616
• GCD of 794, 944, 346, 135
• GCD of 623, 539, 201, 859

Given numbers are 540, 134, 698, 994
The greatest common divisor of numbers 540, 134, 698, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 540, 134, 698, 994 is 2.

1. What is the GCD of 540, 134, 698, 994?

GCD of given numbers 540, 134, 698, 994 is 2

2. How to calculate the greatest common divisor of 540, 134, 698, 994?

We can find the highest common divisor of 540, 134, 698, 994 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 540, 134, 698, 994 i.e 2.

3. How can I use the GCD of 540, 134, 698, 994Calculator?

Out the numbers 540, 134, 698, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.