GCD of 560, 248, 688, 748 Calculator

Given Input numbers are 560, 248, 688, 748

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

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

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 748 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (560, 248, 688, 748) = 4.

Given numbers are 560, 248, 688, 748

The list of prime factors of all numbers are

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

Prime factors of 248 are 2 x 2 x 2 x 31

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

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

The highest common occurrence is 2²

Therefore, GCD of 560, 248, 688, 748 is 4.

Given numbers are 560, 248, 688, 748

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

Apply this formula for all numbers.

Step1:

LCM(560, 248) = 17360

GCD(560, 248) = ( 560 x 248 ) / 17360

= 560 / 248

= 560

Step2:

LCM(8, 688) = 688

GCD(8, 688) = ( 8 x 688 ) / 688

= 8 / 688

= 8

Step3:

LCM(8, 748) = 1496

GCD(8, 748) = ( 8 x 748 ) / 1496

= 8 / 748

= 8

So, Greatest Common Divisor of 560, 248, 688, 748 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 120, 997, 753
• GCD of 366, 699, 156, 223
• GCD of 788, 704, 469, 477
• GCD of 799, 927, 282, 111
• GCD of 520, 867, 732, 966

Given numbers are 560, 248, 688, 748
The greatest common divisor of numbers 560, 248, 688, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 248, 688, 748 is 4.

1. What is the GCD of 560, 248, 688, 748?

GCD of given numbers 560, 248, 688, 748 is 4

2. How to calculate the greatest common divisor of 560, 248, 688, 748?

We can find the highest common divisor of 560, 248, 688, 748 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 560, 248, 688, 748 i.e 4.

3. How can I use the GCD of 560, 248, 688, 748Calculator?

Out the numbers 560, 248, 688, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.