GCD of 208, 448, 625, 726 Calculator

Given Input numbers are 208, 448, 625, 726

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

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

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

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (208, 448, 625, 726) = 1.

Given numbers are 208, 448, 625, 726

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 625 are 5 x 5 x 5 x 5

Prime factors of 726 are 2 x 3 x 11 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 208, 448, 625, 726

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

Apply this formula for all numbers.

Step1:

LCM(208, 448) = 5824

GCD(208, 448) = ( 208 x 448 ) / 5824

= 208 / 448

= 208

Step2:

LCM(16, 625) = 10000

GCD(16, 625) = ( 16 x 625 ) / 10000

= 16 / 625

= 16

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 208, 448, 625, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 896, 766, 963
• GCD of 962, 295, 373, 871
• GCD of 252, 624, 171, 962
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• GCD of 712, 213, 928, 588

Given numbers are 208, 448, 625, 726
The greatest common divisor of numbers 208, 448, 625, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 448, 625, 726 is 1.

1. What is the GCD of 208, 448, 625, 726?

GCD of given numbers 208, 448, 625, 726 is 1

2. How to calculate the greatest common divisor of 208, 448, 625, 726?

We can find the highest common divisor of 208, 448, 625, 726 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 208, 448, 625, 726 i.e 1.

3. How can I use the GCD of 208, 448, 625, 726Calculator?

Out the numbers 208, 448, 625, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.