GCD of 264, 704, 720, 916 Calculator

Given Input numbers are 264, 704, 720, 916

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (264, 704, 720, 916) = 4.

Given numbers are 264, 704, 720, 916

The list of prime factors of all numbers are

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2²

Therefore, GCD of 264, 704, 720, 916 is 4.

Given numbers are 264, 704, 720, 916

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

Apply this formula for all numbers.

Step1:

LCM(264, 704) = 2112

GCD(264, 704) = ( 264 x 704 ) / 2112

= 264 / 704

= 264

Step2:

LCM(88, 720) = 7920

GCD(88, 720) = ( 88 x 720 ) / 7920

= 88 / 720

= 88

Step3:

LCM(8, 916) = 1832

GCD(8, 916) = ( 8 x 916 ) / 1832

= 8 / 916

= 8

So, Greatest Common Divisor of 264, 704, 720, 916 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 134, 325, 982
• GCD of 549, 828, 932, 884
• GCD of 983, 113, 133, 783
• GCD of 680, 433, 731, 134
• GCD of 112, 971, 124, 105

Given numbers are 264, 704, 720, 916
The greatest common divisor of numbers 264, 704, 720, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 264, 704, 720, 916 is 4.

1. What is the GCD of 264, 704, 720, 916?

GCD of given numbers 264, 704, 720, 916 is 4

2. How to calculate the greatest common divisor of 264, 704, 720, 916?

We can find the highest common divisor of 264, 704, 720, 916 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 264, 704, 720, 916 i.e 4.

3. How can I use the GCD of 264, 704, 720, 916Calculator?

Out the numbers 264, 704, 720, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.