GCD of 252, 208, 98, 896 Calculator

Given Input numbers are 252, 208, 98, 896

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 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 98 :

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

1, 2, 7, 14, 49, 98

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (252, 208, 98, 896) = 2.

Given numbers are 252, 208, 98, 896

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 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 98 are 2 x 7 x 7

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 252, 208, 98, 896 is 2.

Given numbers are 252, 208, 98, 896

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

Apply this formula for all numbers.

Step1:

LCM(252, 208) = 13104

GCD(252, 208) = ( 252 x 208 ) / 13104

= 252 / 208

= 252

Step2:

LCM(4, 98) = 196

GCD(4, 98) = ( 4 x 98 ) / 196

= 4 / 98

= 4

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 252, 208, 98, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 821, 18, 584
• GCD of 328, 469, 84, 809
• GCD of 383, 389, 29, 728
• GCD of 439, 318, 56, 592
• GCD of 580, 940, 31, 584

Given numbers are 252, 208, 98, 896
The greatest common divisor of numbers 252, 208, 98, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 208, 98, 896 is 2.

1. What is the GCD of 252, 208, 98, 896?

GCD of given numbers 252, 208, 98, 896 is 2

2. How to calculate the greatest common divisor of 252, 208, 98, 896?

We can find the highest common divisor of 252, 208, 98, 896 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, 208, 98, 896 i.e 2.

3. How can I use the GCD of 252, 208, 98, 896Calculator?

Out the numbers 252, 208, 98, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.