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GCD of 280, 670, 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 280, 670, 430 quickly. Get the easiest ways to solve the greatest common divisor of 280, 670, 430 i.e 10 in different methods as follows.

GCD of

How to Find GCD of Numbers 280, 670, 430 with Factoring?

Given Input numbers are 280, 670, 430

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

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

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 (280, 670, 430) = 10.

Find GCD of 280, 670, 430 using Prime Factorization

Given numbers are 280, 670, 430

The list of prime factors of all numbers are

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 670 are 2 x 5 x 67

Prime factors of 430 are 2 x 5 x 43

The highest common occurrence is 21 x 51

Therefore, GCD of 280, 670, 430 is 10.

Steps to Calculate GCD of 280, 670, 430 using LCM Formula

Given numbers are 280, 670, 430

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

Apply this formula for all numbers.

Step1:

LCM(280, 670) = 18760

GCD(280, 670) = ( 280 x 670 ) / 18760

= 280 / 670

= 280


Step2:

LCM(10, 430) = 430

GCD(10, 430) = ( 10 x 430 ) / 430

= 10 / 430

= 10


So, Greatest Common Divisor of 280, 670, 430 is 10

GCD of Numbers Calculation Examples

Greatest Common Divisor of 280, 670, 430

Given numbers are 280, 670, 430
The greatest common divisor of numbers 280, 670, 430 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 670, 430 is 10.

FAQs on GCD of 280, 670, 430 Calculator

1. What is the GCD of 280, 670, 430?

GCD of given numbers 280, 670, 430 is 10


2. How to calculate the greatest common divisor of 280, 670, 430?

We can find the highest common divisor of 280, 670, 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 280, 670, 430 i.e 10.


3. How can I use the GCD of 280, 670, 430Calculator?

Out the numbers 280, 670, 430 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.