GCD of 764, 332, 978, 142 Calculator

Given Input numbers are 764, 332, 978, 142

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

Divisors of 764 :

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

1, 2, 4, 191, 382, 764

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 (764, 332, 978, 142) = 2.

Given numbers are 764, 332, 978, 142

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 332 are 2 x 2 x 83

Prime factors of 978 are 2 x 3 x 163

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 764, 332, 978, 142 is 2.

Given numbers are 764, 332, 978, 142

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

Apply this formula for all numbers.

Step1:

LCM(764, 332) = 63412

GCD(764, 332) = ( 764 x 332 ) / 63412

= 764 / 332

= 764

Step2:

LCM(4, 978) = 1956

GCD(4, 978) = ( 4 x 978 ) / 1956

= 4 / 978

= 4

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 764, 332, 978, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 170, 848, 193, 825
• GCD of 381, 680, 739, 141
• GCD of 535, 676, 484, 839
• GCD of 834, 547, 719, 991
• GCD of 937, 953, 761, 315

Given numbers are 764, 332, 978, 142
The greatest common divisor of numbers 764, 332, 978, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 332, 978, 142 is 2.

1. What is the GCD of 764, 332, 978, 142?

GCD of given numbers 764, 332, 978, 142 is 2

2. How to calculate the greatest common divisor of 764, 332, 978, 142?

We can find the highest common divisor of 764, 332, 978, 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 764, 332, 978, 142 i.e 2.

3. How can I use the GCD of 764, 332, 978, 142Calculator?

Out the numbers 764, 332, 978, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.