GCD of 270, 916, 524, 988 Calculator

Given Input numbers are 270, 916, 524, 988

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

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

GCD of numbers is the greatest common divisor

So, the GCD (270, 916, 524, 988) = 2.

Given numbers are 270, 916, 524, 988

The list of prime factors of all numbers are

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 916 are 2 x 2 x 229

Prime factors of 524 are 2 x 2 x 131

Prime factors of 988 are 2 x 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 270, 916, 524, 988 is 2.

Given numbers are 270, 916, 524, 988

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

Apply this formula for all numbers.

Step1:

LCM(270, 916) = 123660

GCD(270, 916) = ( 270 x 916 ) / 123660

= 270 / 916

= 270

Step2:

LCM(2, 524) = 524

GCD(2, 524) = ( 2 x 524 ) / 524

= 2 / 524

= 2

Step3:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

So, Greatest Common Divisor of 270, 916, 524, 988 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 384, 241, 960
• GCD of 778, 211, 324, 468
• GCD of 331, 185, 666, 784
• GCD of 466, 326, 256, 168
• GCD of 997, 212, 435, 367

Given numbers are 270, 916, 524, 988
The greatest common divisor of numbers 270, 916, 524, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 916, 524, 988 is 2.

1. What is the GCD of 270, 916, 524, 988?

GCD of given numbers 270, 916, 524, 988 is 2

2. How to calculate the greatest common divisor of 270, 916, 524, 988?

We can find the highest common divisor of 270, 916, 524, 988 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 270, 916, 524, 988 i.e 2.

3. How can I use the GCD of 270, 916, 524, 988Calculator?

Out the numbers 270, 916, 524, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.