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GCD of 561, 669, 200, 948 Calculator

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


Online GCD Calculator is useful to find the GCD of 561, 669, 200, 948 quickly. Get the easiest ways to solve the greatest common divisor of 561, 669, 200, 948 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 561, 669, 200, 948 with Factoring?

Given Input numbers are 561, 669, 200, 948

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948


GCD of numbers is the greatest common divisor

So, the GCD (561, 669, 200, 948) = 1.

Find GCD of 561, 669, 200, 948 using Prime Factorization

Given numbers are 561, 669, 200, 948

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 669 are 3 x 223

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 948 are 2 x 2 x 3 x 79

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

Steps to Calculate GCD of 561, 669, 200, 948 using LCM Formula

Given numbers are 561, 669, 200, 948

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

Apply this formula for all numbers.

Step1:

LCM(561, 669) = 125103

GCD(561, 669) = ( 561 x 669 ) / 125103

= 561 / 669

= 561


Step2:

LCM(3, 200) = 600

GCD(3, 200) = ( 3 x 200 ) / 600

= 3 / 200

= 3


Step3:

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

= 1 / 948

= 1


So, Greatest Common Divisor of 561, 669, 200, 948 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 561, 669, 200, 948

Given numbers are 561, 669, 200, 948
The greatest common divisor of numbers 561, 669, 200, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 669, 200, 948 is 1.

FAQs on GCD of 561, 669, 200, 948 Calculator

1. What is the GCD of 561, 669, 200, 948?

GCD of given numbers 561, 669, 200, 948 is 1


2. How to calculate the greatest common divisor of 561, 669, 200, 948?

We can find the highest common divisor of 561, 669, 200, 948 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 561, 669, 200, 948 i.e 1.


3. How can I use the GCD of 561, 669, 200, 948Calculator?

Out the numbers 561, 669, 200, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.