GCD of 908, 560, 758, 648 Calculator

Given Input numbers are 908, 560, 758, 648

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

Divisors of 908 :

The positive integer divisors of 908 that completely divides 908 are.

1, 2, 4, 227, 454, 908

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (908, 560, 758, 648) = 2.

Given numbers are 908, 560, 758, 648

The list of prime factors of all numbers are

Prime factors of 908 are 2 x 2 x 227

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 758 are 2 x 379

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 908, 560, 758, 648 is 2.

Given numbers are 908, 560, 758, 648

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

Apply this formula for all numbers.

Step1:

LCM(908, 560) = 127120

GCD(908, 560) = ( 908 x 560 ) / 127120

= 908 / 560

= 908

Step2:

LCM(4, 758) = 1516

GCD(4, 758) = ( 4 x 758 ) / 1516

= 4 / 758

= 4

Step3:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

So, Greatest Common Divisor of 908, 560, 758, 648 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 826, 703, 625
• GCD of 732, 322, 804, 779
• GCD of 635, 366, 624, 718
• GCD of 117, 607, 802, 842
• GCD of 491, 600, 921, 161

Given numbers are 908, 560, 758, 648
The greatest common divisor of numbers 908, 560, 758, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 908, 560, 758, 648 is 2.

1. What is the GCD of 908, 560, 758, 648?

GCD of given numbers 908, 560, 758, 648 is 2

2. How to calculate the greatest common divisor of 908, 560, 758, 648?

We can find the highest common divisor of 908, 560, 758, 648 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 908, 560, 758, 648 i.e 2.

3. How can I use the GCD of 908, 560, 758, 648Calculator?

Out the numbers 908, 560, 758, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.