GCD of 736, 688, 254, 652 Calculator

Given Input numbers are 736, 688, 254, 652

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

GCD of numbers is the greatest common divisor

So, the GCD (736, 688, 254, 652) = 2.

Given numbers are 736, 688, 254, 652

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

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

Prime factors of 254 are 2 x 127

Prime factors of 652 are 2 x 2 x 163

The highest common occurrence is 2¹

Therefore, GCD of 736, 688, 254, 652 is 2.

Given numbers are 736, 688, 254, 652

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

Apply this formula for all numbers.

Step1:

LCM(736, 688) = 31648

GCD(736, 688) = ( 736 x 688 ) / 31648

= 736 / 688

= 736

Step2:

LCM(16, 254) = 2032

GCD(16, 254) = ( 16 x 254 ) / 2032

= 16 / 254

= 16

Step3:

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

= 2 / 652

= 2

So, Greatest Common Divisor of 736, 688, 254, 652 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 597, 730, 412
• GCD of 786, 173, 940, 321
• GCD of 178, 654, 828, 698
• GCD of 576, 425, 132, 289
• GCD of 994, 720, 480, 141

Given numbers are 736, 688, 254, 652
The greatest common divisor of numbers 736, 688, 254, 652 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 688, 254, 652 is 2.

1. What is the GCD of 736, 688, 254, 652?

GCD of given numbers 736, 688, 254, 652 is 2

2. How to calculate the greatest common divisor of 736, 688, 254, 652?

We can find the highest common divisor of 736, 688, 254, 652 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 736, 688, 254, 652 i.e 2.

3. How can I use the GCD of 736, 688, 254, 652Calculator?

Out the numbers 736, 688, 254, 652 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.