GCD of 688, 742, 268, 464 Calculator

Given Input numbers are 688, 742, 268, 464

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

GCD of numbers is the greatest common divisor

So, the GCD (688, 742, 268, 464) = 2.

Given numbers are 688, 742, 268, 464

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 742 are 2 x 7 x 53

Prime factors of 268 are 2 x 2 x 67

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

The highest common occurrence is 2¹

Therefore, GCD of 688, 742, 268, 464 is 2.

Given numbers are 688, 742, 268, 464

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

Apply this formula for all numbers.

Step1:

LCM(688, 742) = 255248

GCD(688, 742) = ( 688 x 742 ) / 255248

= 688 / 742

= 688

Step2:

LCM(2, 268) = 268

GCD(2, 268) = ( 2 x 268 ) / 268

= 2 / 268

= 2

Step3:

LCM(2, 464) = 464

GCD(2, 464) = ( 2 x 464 ) / 464

= 2 / 464

= 2

So, Greatest Common Divisor of 688, 742, 268, 464 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 381, 311, 209, 165
• GCD of 170, 311, 707, 385
• GCD of 363, 246, 171, 791
• GCD of 123, 828, 892, 728
• GCD of 674, 669, 263, 138

Given numbers are 688, 742, 268, 464
The greatest common divisor of numbers 688, 742, 268, 464 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 688, 742, 268, 464 is 2.

1. What is the GCD of 688, 742, 268, 464?

GCD of given numbers 688, 742, 268, 464 is 2

2. How to calculate the greatest common divisor of 688, 742, 268, 464?

We can find the highest common divisor of 688, 742, 268, 464 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, 742, 268, 464 i.e 2.

3. How can I use the GCD of 688, 742, 268, 464Calculator?

Out the numbers 688, 742, 268, 464 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.