GCD of 750, 148, 170, 208 Calculator

Given Input numbers are 750, 148, 170, 208

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

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (750, 148, 170, 208) = 2.

Given numbers are 750, 148, 170, 208

The list of prime factors of all numbers are

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 148 are 2 x 2 x 37

Prime factors of 170 are 2 x 5 x 17

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 750, 148, 170, 208 is 2.

Given numbers are 750, 148, 170, 208

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

Apply this formula for all numbers.

Step1:

LCM(750, 148) = 55500

GCD(750, 148) = ( 750 x 148 ) / 55500

= 750 / 148

= 750

Step2:

LCM(2, 170) = 170

GCD(2, 170) = ( 2 x 170 ) / 170

= 2 / 170

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 750, 148, 170, 208 is 2

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• GCD of 410, 567, 612, 330
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Given numbers are 750, 148, 170, 208
The greatest common divisor of numbers 750, 148, 170, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 148, 170, 208 is 2.

1. What is the GCD of 750, 148, 170, 208?

GCD of given numbers 750, 148, 170, 208 is 2

2. How to calculate the greatest common divisor of 750, 148, 170, 208?

We can find the highest common divisor of 750, 148, 170, 208 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 750, 148, 170, 208 i.e 2.

3. How can I use the GCD of 750, 148, 170, 208Calculator?

Out the numbers 750, 148, 170, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.