GCD of 152, 748, 492, 358 Calculator

Given Input numbers are 152, 748, 492, 358

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

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

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (152, 748, 492, 358) = 2.

Given numbers are 152, 748, 492, 358

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

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

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 152, 748, 492, 358 is 2.

Given numbers are 152, 748, 492, 358

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

Apply this formula for all numbers.

Step1:

LCM(152, 748) = 28424

GCD(152, 748) = ( 152 x 748 ) / 28424

= 152 / 748

= 152

Step2:

LCM(4, 492) = 492

GCD(4, 492) = ( 4 x 492 ) / 492

= 4 / 492

= 4

Step3:

LCM(4, 358) = 716

GCD(4, 358) = ( 4 x 358 ) / 716

= 4 / 358

= 4

So, Greatest Common Divisor of 152, 748, 492, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 159, 143, 626
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• GCD of 612, 429, 188, 359
• GCD of 878, 384, 207, 140

Given numbers are 152, 748, 492, 358
The greatest common divisor of numbers 152, 748, 492, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 748, 492, 358 is 2.

1. What is the GCD of 152, 748, 492, 358?

GCD of given numbers 152, 748, 492, 358 is 2

2. How to calculate the greatest common divisor of 152, 748, 492, 358?

We can find the highest common divisor of 152, 748, 492, 358 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 152, 748, 492, 358 i.e 2.

3. How can I use the GCD of 152, 748, 492, 358Calculator?

Out the numbers 152, 748, 492, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.