GCD of 628, 970, 746, 738 Calculator

Given Input numbers are 628, 970, 746, 738

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

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 (628, 970, 746, 738) = 2.

Given numbers are 628, 970, 746, 738

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 970 are 2 x 5 x 97

Prime factors of 746 are 2 x 373

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

The highest common occurrence is 2¹

Therefore, GCD of 628, 970, 746, 738 is 2.

Given numbers are 628, 970, 746, 738

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

Apply this formula for all numbers.

Step1:

LCM(628, 970) = 304580

GCD(628, 970) = ( 628 x 970 ) / 304580

= 628 / 970

= 628

Step2:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

Step3:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

So, Greatest Common Divisor of 628, 970, 746, 738 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 825, 916, 207, 625
• GCD of 591, 446, 251, 504
• GCD of 829, 815, 452, 217
• GCD of 509, 164, 718, 856
• GCD of 882, 992, 844, 249

Given numbers are 628, 970, 746, 738
The greatest common divisor of numbers 628, 970, 746, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 970, 746, 738 is 2.

1. What is the GCD of 628, 970, 746, 738?

GCD of given numbers 628, 970, 746, 738 is 2

2. How to calculate the greatest common divisor of 628, 970, 746, 738?

We can find the highest common divisor of 628, 970, 746, 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 628, 970, 746, 738 i.e 2.

3. How can I use the GCD of 628, 970, 746, 738Calculator?

Out the numbers 628, 970, 746, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.