GCD of 438, 448, 700, 896 Calculator

Given Input numbers are 438, 448, 700, 896

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

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 (438, 448, 700, 896) = 2.

Given numbers are 438, 448, 700, 896

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

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

Prime factors of 700 are 2 x 2 x 5 x 5 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 438, 448, 700, 896 is 2.

Given numbers are 438, 448, 700, 896

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

Apply this formula for all numbers.

Step1:

LCM(438, 448) = 98112

GCD(438, 448) = ( 438 x 448 ) / 98112

= 438 / 448

= 438

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 896) = 896

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

= 2 / 896

= 2

So, Greatest Common Divisor of 438, 448, 700, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 115, 370, 541
• GCD of 471, 618, 894, 948
• GCD of 963, 988, 613, 149
• GCD of 268, 703, 293, 420
• GCD of 550, 938, 808, 979

Given numbers are 438, 448, 700, 896
The greatest common divisor of numbers 438, 448, 700, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 448, 700, 896 is 2.

1. What is the GCD of 438, 448, 700, 896?

GCD of given numbers 438, 448, 700, 896 is 2

2. How to calculate the greatest common divisor of 438, 448, 700, 896?

We can find the highest common divisor of 438, 448, 700, 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 438, 448, 700, 896 i.e 2.

3. How can I use the GCD of 438, 448, 700, 896Calculator?

Out the numbers 438, 448, 700, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.