GCD of 752, 278, 374, 170 Calculator

Given Input numbers are 752, 278, 374, 170

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 170 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (752, 278, 374, 170) = 2.

Given numbers are 752, 278, 374, 170

The list of prime factors of all numbers are

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 278 are 2 x 139

Prime factors of 374 are 2 x 11 x 17

Prime factors of 170 are 2 x 5 x 17

The highest common occurrence is 2¹

Therefore, GCD of 752, 278, 374, 170 is 2.

Given numbers are 752, 278, 374, 170

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

Apply this formula for all numbers.

Step1:

LCM(752, 278) = 104528

GCD(752, 278) = ( 752 x 278 ) / 104528

= 752 / 278

= 752

Step2:

LCM(2, 374) = 374

GCD(2, 374) = ( 2 x 374 ) / 374

= 2 / 374

= 2

Step3:

LCM(2, 170) = 170

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

= 2 / 170

= 2

So, Greatest Common Divisor of 752, 278, 374, 170 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 326, 334, 533
• GCD of 362, 368, 993, 125
• GCD of 922, 477, 606, 946
• GCD of 549, 795, 652, 853
• GCD of 611, 198, 481, 258

Given numbers are 752, 278, 374, 170
The greatest common divisor of numbers 752, 278, 374, 170 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 278, 374, 170 is 2.

1. What is the GCD of 752, 278, 374, 170?

GCD of given numbers 752, 278, 374, 170 is 2

2. How to calculate the greatest common divisor of 752, 278, 374, 170?

We can find the highest common divisor of 752, 278, 374, 170 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 752, 278, 374, 170 i.e 2.

3. How can I use the GCD of 752, 278, 374, 170Calculator?

Out the numbers 752, 278, 374, 170 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.