GCD of 352, 436, 140, 564 Calculator

Given Input numbers are 352, 436, 140, 564

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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

GCD of numbers is the greatest common divisor

So, the GCD (352, 436, 140, 564) = 4.

Given numbers are 352, 436, 140, 564

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 436 are 2 x 2 x 109

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 352, 436, 140, 564 is 4.

Given numbers are 352, 436, 140, 564

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

Apply this formula for all numbers.

Step1:

LCM(352, 436) = 38368

GCD(352, 436) = ( 352 x 436 ) / 38368

= 352 / 436

= 352

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

Step3:

LCM(4, 564) = 564

GCD(4, 564) = ( 4 x 564 ) / 564

= 4 / 564

= 4

So, Greatest Common Divisor of 352, 436, 140, 564 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 688, 579, 790, 874
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Given numbers are 352, 436, 140, 564
The greatest common divisor of numbers 352, 436, 140, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 436, 140, 564 is 4.

1. What is the GCD of 352, 436, 140, 564?

GCD of given numbers 352, 436, 140, 564 is 4

2. How to calculate the greatest common divisor of 352, 436, 140, 564?

We can find the highest common divisor of 352, 436, 140, 564 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, 436, 140, 564 i.e 4.

3. How can I use the GCD of 352, 436, 140, 564Calculator?

Out the numbers 352, 436, 140, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.