GCD of 752, 290, 142 Calculator

Given Input numbers are 752, 290, 142

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 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (752, 290, 142) = 2.

Given numbers are 752, 290, 142

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 290 are 2 x 5 x 29

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 752, 290, 142 is 2.

Given numbers are 752, 290, 142

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

Apply this formula for all numbers.

Step1:

LCM(752, 290) = 109040

GCD(752, 290) = ( 752 x 290 ) / 109040

= 752 / 290

= 752

Step2:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 752, 290, 142 is 2

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Given numbers are 752, 290, 142
The greatest common divisor of numbers 752, 290, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 290, 142 is 2.

1. What is the GCD of 752, 290, 142?

GCD of given numbers 752, 290, 142 is 2

2. How to calculate the greatest common divisor of 752, 290, 142?

We can find the highest common divisor of 752, 290, 142 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, 290, 142 i.e 2.

3. How can I use the GCD of 752, 290, 142Calculator?

Out the numbers 752, 290, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.