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GCD of 800, 962, 434, 435 Calculator

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


Online GCD Calculator is useful to find the GCD of 800, 962, 434, 435 quickly. Get the easiest ways to solve the greatest common divisor of 800, 962, 434, 435 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 800, 962, 434, 435 with Factoring?

Given Input numbers are 800, 962, 434, 435

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435


GCD of numbers is the greatest common divisor

So, the GCD (800, 962, 434, 435) = 1.

Find GCD of 800, 962, 434, 435 using Prime Factorization

Given numbers are 800, 962, 434, 435

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 962 are 2 x 13 x 37

Prime factors of 434 are 2 x 7 x 31

Prime factors of 435 are 3 x 5 x 29

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 800, 962, 434, 435 using LCM Formula

Given numbers are 800, 962, 434, 435

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

Apply this formula for all numbers.

Step1:

LCM(800, 962) = 384800

GCD(800, 962) = ( 800 x 962 ) / 384800

= 800 / 962

= 800


Step2:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2


Step3:

LCM(2, 435) = 870

GCD(2, 435) = ( 2 x 435 ) / 870

= 2 / 435

= 2


So, Greatest Common Divisor of 800, 962, 434, 435 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 800, 962, 434, 435

Given numbers are 800, 962, 434, 435
The greatest common divisor of numbers 800, 962, 434, 435 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 962, 434, 435 is 1.

FAQs on GCD of 800, 962, 434, 435 Calculator

1. What is the GCD of 800, 962, 434, 435?

GCD of given numbers 800, 962, 434, 435 is 1


2. How to calculate the greatest common divisor of 800, 962, 434, 435?

We can find the highest common divisor of 800, 962, 434, 435 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 800, 962, 434, 435 i.e 1.


3. How can I use the GCD of 800, 962, 434, 435Calculator?

Out the numbers 800, 962, 434, 435 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.