GCD of 252, 472, 688, 766 Calculator

Given Input numbers are 252, 472, 688, 766

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 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

GCD of numbers is the greatest common divisor

So, the GCD (252, 472, 688, 766) = 2.

Given numbers are 252, 472, 688, 766

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 472 are 2 x 2 x 2 x 59

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 766 are 2 x 383

The highest common occurrence is 2¹

Therefore, GCD of 252, 472, 688, 766 is 2.

Given numbers are 252, 472, 688, 766

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

Apply this formula for all numbers.

Step1:

LCM(252, 472) = 29736

GCD(252, 472) = ( 252 x 472 ) / 29736

= 252 / 472

= 252

Step2:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

Step3:

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

= 4 / 766

= 4

So, Greatest Common Divisor of 252, 472, 688, 766 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 910, 274, 801
• GCD of 680, 634, 435, 739
• GCD of 207, 842, 909, 761
• GCD of 777, 449, 988, 984
• GCD of 331, 459, 169, 183

Given numbers are 252, 472, 688, 766
The greatest common divisor of numbers 252, 472, 688, 766 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 472, 688, 766 is 2.

1. What is the GCD of 252, 472, 688, 766?

GCD of given numbers 252, 472, 688, 766 is 2

2. How to calculate the greatest common divisor of 252, 472, 688, 766?

We can find the highest common divisor of 252, 472, 688, 766 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, 472, 688, 766 i.e 2.

3. How can I use the GCD of 252, 472, 688, 766Calculator?

Out the numbers 252, 472, 688, 766 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.