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GCD of 448, 652, 720, 430 Calculator

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


Online GCD Calculator is useful to find the GCD of 448, 652, 720, 430 quickly. Get the easiest ways to solve the greatest common divisor of 448, 652, 720, 430 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 448, 652, 720, 430 with Factoring?

Given Input numbers are 448, 652, 720, 430

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

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 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430


GCD of numbers is the greatest common divisor

So, the GCD (448, 652, 720, 430) = 2.

Find GCD of 448, 652, 720, 430 using Prime Factorization

Given numbers are 448, 652, 720, 430

The list of prime factors of all numbers are

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

Prime factors of 652 are 2 x 2 x 163

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 430 are 2 x 5 x 43

The highest common occurrence is 21

Therefore, GCD of 448, 652, 720, 430 is 2.

Steps to Calculate GCD of 448, 652, 720, 430 using LCM Formula

Given numbers are 448, 652, 720, 430

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

Apply this formula for all numbers.

Step1:

LCM(448, 652) = 73024

GCD(448, 652) = ( 448 x 652 ) / 73024

= 448 / 652

= 448


Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4


Step3:

LCM(4, 430) = 860

GCD(4, 430) = ( 4 x 430 ) / 860

= 4 / 430

= 4


So, Greatest Common Divisor of 448, 652, 720, 430 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 448, 652, 720, 430

Given numbers are 448, 652, 720, 430
The greatest common divisor of numbers 448, 652, 720, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 652, 720, 430 is 2.

FAQs on GCD of 448, 652, 720, 430 Calculator

1. What is the GCD of 448, 652, 720, 430?

GCD of given numbers 448, 652, 720, 430 is 2


2. How to calculate the greatest common divisor of 448, 652, 720, 430?

We can find the highest common divisor of 448, 652, 720, 430 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 448, 652, 720, 430 i.e 2.


3. How can I use the GCD of 448, 652, 720, 430Calculator?

Out the numbers 448, 652, 720, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.