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GCD of 700, 384, 732, 672 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 700, 384, 732, 672 quickly. Get the easiest ways to solve the greatest common divisor of 700, 384, 732, 672 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 384, 732, 672 with Factoring?

Given Input numbers are 700, 384, 732, 672

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672


GCD of numbers is the greatest common divisor

So, the GCD (700, 384, 732, 672) = 4.

Find GCD of 700, 384, 732, 672 using Prime Factorization

Given numbers are 700, 384, 732, 672

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 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 22

Therefore, GCD of 700, 384, 732, 672 is 4.

Steps to Calculate GCD of 700, 384, 732, 672 using LCM Formula

Given numbers are 700, 384, 732, 672

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

Apply this formula for all numbers.

Step1:

LCM(700, 384) = 67200

GCD(700, 384) = ( 700 x 384 ) / 67200

= 700 / 384

= 700


Step2:

LCM(4, 732) = 732

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

= 4 / 732

= 4


Step3:

LCM(4, 672) = 672

GCD(4, 672) = ( 4 x 672 ) / 672

= 4 / 672

= 4


So, Greatest Common Divisor of 700, 384, 732, 672 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 384, 732, 672

Given numbers are 700, 384, 732, 672
The greatest common divisor of numbers 700, 384, 732, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 384, 732, 672 is 4.

FAQs on GCD of 700, 384, 732, 672 Calculator

1. What is the GCD of 700, 384, 732, 672?

GCD of given numbers 700, 384, 732, 672 is 4


2. How to calculate the greatest common divisor of 700, 384, 732, 672?

We can find the highest common divisor of 700, 384, 732, 672 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, 384, 732, 672 i.e 4.


3. How can I use the GCD of 700, 384, 732, 672Calculator?

Out the numbers 700, 384, 732, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.