GCD of 252, 978, 357, 768 Calculator

Given Input numbers are 252, 978, 357, 768

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 978 :

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

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

GCD of numbers is the greatest common divisor

So, the GCD (252, 978, 357, 768) = 3.

Given numbers are 252, 978, 357, 768

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 978 are 2 x 3 x 163

Prime factors of 357 are 3 x 7 x 17

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 3¹

Therefore, GCD of 252, 978, 357, 768 is 3.

Given numbers are 252, 978, 357, 768

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

Apply this formula for all numbers.

Step1:

LCM(252, 978) = 41076

GCD(252, 978) = ( 252 x 978 ) / 41076

= 252 / 978

= 252

Step2:

LCM(6, 357) = 714

GCD(6, 357) = ( 6 x 357 ) / 714

= 6 / 357

= 6

Step3:

LCM(3, 768) = 768

GCD(3, 768) = ( 3 x 768 ) / 768

= 3 / 768

= 3

So, Greatest Common Divisor of 252, 978, 357, 768 is 3

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• GCD of 724, 693, 480, 159
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Given numbers are 252, 978, 357, 768
The greatest common divisor of numbers 252, 978, 357, 768 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 978, 357, 768 is 3.

1. What is the GCD of 252, 978, 357, 768?

GCD of given numbers 252, 978, 357, 768 is 3

2. How to calculate the greatest common divisor of 252, 978, 357, 768?

We can find the highest common divisor of 252, 978, 357, 768 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 252, 978, 357, 768 i.e 3.

3. How can I use the GCD of 252, 978, 357, 768Calculator?

Out the numbers 252, 978, 357, 768 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.