GCD of 700, 896, 668, 732 Calculator

Given Input numbers are 700, 896, 668, 732

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

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

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

GCD of numbers is the greatest common divisor

So, the GCD (700, 896, 668, 732) = 4.

Given numbers are 700, 896, 668, 732

The list of prime factors of all numbers are

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

Prime factors of 668 are 2 x 2 x 167

Prime factors of 732 are 2 x 2 x 3 x 61

The highest common occurrence is 2²

Therefore, GCD of 700, 896, 668, 732 is 4.

Given numbers are 700, 896, 668, 732

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

Apply this formula for all numbers.

Step1:

LCM(700, 896) = 22400

GCD(700, 896) = ( 700 x 896 ) / 22400

= 700 / 896

= 700

Step2:

LCM(28, 668) = 4676

GCD(28, 668) = ( 28 x 668 ) / 4676

= 28 / 668

= 28

Step3:

LCM(4, 732) = 732

GCD(4, 732) = ( 4 x 732 ) / 732

= 4 / 732

= 4

So, Greatest Common Divisor of 700, 896, 668, 732 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 835, 125, 263
• GCD of 141, 753, 615, 519
• GCD of 304, 827, 840, 738
• GCD of 789, 254, 601, 731
• GCD of 757, 988, 369, 598

Given numbers are 700, 896, 668, 732
The greatest common divisor of numbers 700, 896, 668, 732 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 896, 668, 732 is 4.

1. What is the GCD of 700, 896, 668, 732?

GCD of given numbers 700, 896, 668, 732 is 4

2. How to calculate the greatest common divisor of 700, 896, 668, 732?

We can find the highest common divisor of 700, 896, 668, 732 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 700, 896, 668, 732 i.e 4.

3. How can I use the GCD of 700, 896, 668, 732Calculator?

Out the numbers 700, 896, 668, 732 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.