GCD of 564, 880, 848, 748 Calculator

Given Input numbers are 564, 880, 848, 748

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

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 (564, 880, 848, 748) = 4.

Given numbers are 564, 880, 848, 748

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

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

The highest common occurrence is 2²

Therefore, GCD of 564, 880, 848, 748 is 4.

Given numbers are 564, 880, 848, 748

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

Apply this formula for all numbers.

Step1:

LCM(564, 880) = 124080

GCD(564, 880) = ( 564 x 880 ) / 124080

= 564 / 880

= 564

Step2:

LCM(4, 848) = 848

GCD(4, 848) = ( 4 x 848 ) / 848

= 4 / 848

= 4

Step3:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

So, Greatest Common Divisor of 564, 880, 848, 748 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 176, 246, 913
• GCD of 418, 359, 239, 926
• GCD of 296, 981, 672, 140
• GCD of 447, 338, 408, 537
• GCD of 737, 756, 970, 591

Given numbers are 564, 880, 848, 748
The greatest common divisor of numbers 564, 880, 848, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 880, 848, 748 is 4.

1. What is the GCD of 564, 880, 848, 748?

GCD of given numbers 564, 880, 848, 748 is 4

2. How to calculate the greatest common divisor of 564, 880, 848, 748?

We can find the highest common divisor of 564, 880, 848, 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 564, 880, 848, 748 i.e 4.

3. How can I use the GCD of 564, 880, 848, 748Calculator?

Out the numbers 564, 880, 848, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.