GCD of 294, 764, 750, 142 Calculator

Given Input numbers are 294, 764, 750, 142

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

Divisors of 294 :

The positive integer divisors of 294 that completely divides 294 are.

1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

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 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 (294, 764, 750, 142) = 2.

Given numbers are 294, 764, 750, 142

The list of prime factors of all numbers are

Prime factors of 294 are 2 x 3 x 7 x 7

Prime factors of 764 are 2 x 2 x 191

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

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 294, 764, 750, 142 is 2.

Given numbers are 294, 764, 750, 142

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

Apply this formula for all numbers.

Step1:

LCM(294, 764) = 112308

GCD(294, 764) = ( 294 x 764 ) / 112308

= 294 / 764

= 294

Step2:

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

= 2 / 750

= 2

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 294, 764, 750, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 409, 605, 176
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• GCD of 485, 763, 541, 375
• GCD of 932, 936, 431, 117
• GCD of 336, 652, 977, 400

Given numbers are 294, 764, 750, 142
The greatest common divisor of numbers 294, 764, 750, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 764, 750, 142 is 2.

1. What is the GCD of 294, 764, 750, 142?

GCD of given numbers 294, 764, 750, 142 is 2

2. How to calculate the greatest common divisor of 294, 764, 750, 142?

We can find the highest common divisor of 294, 764, 750, 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 294, 764, 750, 142 i.e 2.

3. How can I use the GCD of 294, 764, 750, 142Calculator?

Out the numbers 294, 764, 750, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.