GCD of 608, 140, 764, 738 Calculator

Given Input numbers are 608, 140, 764, 738

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (608, 140, 764, 738) = 2.

Given numbers are 608, 140, 764, 738

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 764 are 2 x 2 x 191

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 608, 140, 764, 738 is 2.

Given numbers are 608, 140, 764, 738

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

Apply this formula for all numbers.

Step1:

LCM(608, 140) = 21280

GCD(608, 140) = ( 608 x 140 ) / 21280

= 608 / 140

= 608

Step2:

LCM(4, 764) = 764

GCD(4, 764) = ( 4 x 764 ) / 764

= 4 / 764

= 4

Step3:

LCM(4, 738) = 1476

GCD(4, 738) = ( 4 x 738 ) / 1476

= 4 / 738

= 4

So, Greatest Common Divisor of 608, 140, 764, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 605, 471, 522
• GCD of 418, 710, 881, 748
• GCD of 979, 926, 578, 121
• GCD of 270, 833, 191, 782
• GCD of 171, 550, 571, 975

Given numbers are 608, 140, 764, 738
The greatest common divisor of numbers 608, 140, 764, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 140, 764, 738 is 2.

1. What is the GCD of 608, 140, 764, 738?

GCD of given numbers 608, 140, 764, 738 is 2

2. How to calculate the greatest common divisor of 608, 140, 764, 738?

We can find the highest common divisor of 608, 140, 764, 738 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 608, 140, 764, 738 i.e 2.

3. How can I use the GCD of 608, 140, 764, 738Calculator?

Out the numbers 608, 140, 764, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.