GCD of 688, 496, 132, 299 Calculator

Given Input numbers are 688, 496, 132, 299

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

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

GCD of numbers is the greatest common divisor

So, the GCD (688, 496, 132, 299) = 1.

Given numbers are 688, 496, 132, 299

The list of prime factors of all numbers are

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 299 are 13 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 688, 496, 132, 299

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

Apply this formula for all numbers.

Step1:

LCM(688, 496) = 21328

GCD(688, 496) = ( 688 x 496 ) / 21328

= 688 / 496

= 688

Step2:

LCM(16, 132) = 528

GCD(16, 132) = ( 16 x 132 ) / 528

= 16 / 132

= 16

Step3:

LCM(4, 299) = 1196

GCD(4, 299) = ( 4 x 299 ) / 1196

= 4 / 299

= 4

So, Greatest Common Divisor of 688, 496, 132, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 869, 707, 593
• GCD of 601, 801, 786, 684
• GCD of 839, 707, 209, 106
• GCD of 668, 911, 698, 778
• GCD of 865, 542, 498, 993

Given numbers are 688, 496, 132, 299
The greatest common divisor of numbers 688, 496, 132, 299 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 496, 132, 299 is 1.

1. What is the GCD of 688, 496, 132, 299?

GCD of given numbers 688, 496, 132, 299 is 1

2. How to calculate the greatest common divisor of 688, 496, 132, 299?

We can find the highest common divisor of 688, 496, 132, 299 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 688, 496, 132, 299 i.e 1.

3. How can I use the GCD of 688, 496, 132, 299Calculator?

Out the numbers 688, 496, 132, 299 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.