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GCD of 320, 700, 452, 276 Calculator

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


Online GCD Calculator is useful to find the GCD of 320, 700, 452, 276 quickly. Get the easiest ways to solve the greatest common divisor of 320, 700, 452, 276 i.e 4 in different methods as follows.

GCD of

How to Find GCD of Numbers 320, 700, 452, 276 with Factoring?

Given Input numbers are 320, 700, 452, 276

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

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 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276


GCD of numbers is the greatest common divisor

So, the GCD (320, 700, 452, 276) = 4.

Find GCD of 320, 700, 452, 276 using Prime Factorization

Given numbers are 320, 700, 452, 276

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 452 are 2 x 2 x 113

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 22

Therefore, GCD of 320, 700, 452, 276 is 4.

Steps to Calculate GCD of 320, 700, 452, 276 using LCM Formula

Given numbers are 320, 700, 452, 276

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

Apply this formula for all numbers.

Step1:

LCM(320, 700) = 11200

GCD(320, 700) = ( 320 x 700 ) / 11200

= 320 / 700

= 320


Step2:

LCM(20, 452) = 2260

GCD(20, 452) = ( 20 x 452 ) / 2260

= 20 / 452

= 20


Step3:

LCM(4, 276) = 276

GCD(4, 276) = ( 4 x 276 ) / 276

= 4 / 276

= 4


So, Greatest Common Divisor of 320, 700, 452, 276 is 4

GCD of Numbers Calculation Examples

Greatest Common Divisor of 320, 700, 452, 276

Given numbers are 320, 700, 452, 276
The greatest common divisor of numbers 320, 700, 452, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 700, 452, 276 is 4.

FAQs on GCD of 320, 700, 452, 276 Calculator

1. What is the GCD of 320, 700, 452, 276?

GCD of given numbers 320, 700, 452, 276 is 4


2. How to calculate the greatest common divisor of 320, 700, 452, 276?

We can find the highest common divisor of 320, 700, 452, 276 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 320, 700, 452, 276 i.e 4.


3. How can I use the GCD of 320, 700, 452, 276Calculator?

Out the numbers 320, 700, 452, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.