GCD of 630, 734, 748, 268 Calculator

Given Input numbers are 630, 734, 748, 268

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 268 :

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

1, 2, 4, 67, 134, 268

GCD of numbers is the greatest common divisor

So, the GCD (630, 734, 748, 268) = 2.

Given numbers are 630, 734, 748, 268

The list of prime factors of all numbers are

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 734 are 2 x 367

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 268 are 2 x 2 x 67

The highest common occurrence is 2¹

Therefore, GCD of 630, 734, 748, 268 is 2.

Given numbers are 630, 734, 748, 268

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

Apply this formula for all numbers.

Step1:

LCM(630, 734) = 231210

GCD(630, 734) = ( 630 x 734 ) / 231210

= 630 / 734

= 630

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 268) = 268

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

= 2 / 268

= 2

So, Greatest Common Divisor of 630, 734, 748, 268 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 524, 258, 431
• GCD of 405, 863, 162, 708
• GCD of 988, 402, 263, 732
• GCD of 620, 652, 253, 194
• GCD of 139, 396, 502, 224

Given numbers are 630, 734, 748, 268
The greatest common divisor of numbers 630, 734, 748, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 734, 748, 268 is 2.

1. What is the GCD of 630, 734, 748, 268?

GCD of given numbers 630, 734, 748, 268 is 2

2. How to calculate the greatest common divisor of 630, 734, 748, 268?

We can find the highest common divisor of 630, 734, 748, 268 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 630, 734, 748, 268 i.e 2.

3. How can I use the GCD of 630, 734, 748, 268Calculator?

Out the numbers 630, 734, 748, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.