GCD of 352, 660, 868, 742 Calculator

Given Input numbers are 352, 660, 868, 742

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (352, 660, 868, 742) = 2.

Given numbers are 352, 660, 868, 742

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 352, 660, 868, 742 is 2.

Given numbers are 352, 660, 868, 742

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

Apply this formula for all numbers.

Step1:

LCM(352, 660) = 5280

GCD(352, 660) = ( 352 x 660 ) / 5280

= 352 / 660

= 352

Step2:

LCM(44, 868) = 9548

GCD(44, 868) = ( 44 x 868 ) / 9548

= 44 / 868

= 44

Step3:

LCM(4, 742) = 1484

GCD(4, 742) = ( 4 x 742 ) / 1484

= 4 / 742

= 4

So, Greatest Common Divisor of 352, 660, 868, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 879, 509, 297
• GCD of 913, 971, 140, 145
• GCD of 864, 269, 544, 238
• GCD of 653, 287, 644, 421
• GCD of 715, 932, 171, 307

Given numbers are 352, 660, 868, 742
The greatest common divisor of numbers 352, 660, 868, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 660, 868, 742 is 2.

1. What is the GCD of 352, 660, 868, 742?

GCD of given numbers 352, 660, 868, 742 is 2

2. How to calculate the greatest common divisor of 352, 660, 868, 742?

We can find the highest common divisor of 352, 660, 868, 742 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 352, 660, 868, 742 i.e 2.

3. How can I use the GCD of 352, 660, 868, 742Calculator?

Out the numbers 352, 660, 868, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.