GCD of 408, 252, 98, 772 Calculator

Given Input numbers are 408, 252, 98, 772

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 98 :

The positive integer divisors of 98 that completely divides 98 are.

1, 2, 7, 14, 49, 98

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (408, 252, 98, 772) = 2.

Given numbers are 408, 252, 98, 772

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 98 are 2 x 7 x 7

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 408, 252, 98, 772 is 2.

Given numbers are 408, 252, 98, 772

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

Apply this formula for all numbers.

Step1:

LCM(408, 252) = 8568

GCD(408, 252) = ( 408 x 252 ) / 8568

= 408 / 252

= 408

Step2:

LCM(12, 98) = 588

GCD(12, 98) = ( 12 x 98 ) / 588

= 12 / 98

= 12

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 408, 252, 98, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 899, 443, 57, 571
• GCD of 843, 772, 60, 818
• GCD of 774, 566, 39, 715
• GCD of 262, 860, 10, 468
• GCD of 548, 556, 24, 349

Given numbers are 408, 252, 98, 772
The greatest common divisor of numbers 408, 252, 98, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 252, 98, 772 is 2.

1. What is the GCD of 408, 252, 98, 772?

GCD of given numbers 408, 252, 98, 772 is 2

2. How to calculate the greatest common divisor of 408, 252, 98, 772?

We can find the highest common divisor of 408, 252, 98, 772 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 408, 252, 98, 772 i.e 2.

3. How can I use the GCD of 408, 252, 98, 772Calculator?

Out the numbers 408, 252, 98, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.