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GCD of 945, 378, 946, 488 Calculator

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


Online GCD Calculator is useful to find the GCD of 945, 378, 946, 488 quickly. Get the easiest ways to solve the greatest common divisor of 945, 378, 946, 488 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 378, 946, 488 with Factoring?

Given Input numbers are 945, 378, 946, 488

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488


GCD of numbers is the greatest common divisor

So, the GCD (945, 378, 946, 488) = 1.

Find GCD of 945, 378, 946, 488 using Prime Factorization

Given numbers are 945, 378, 946, 488

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 946 are 2 x 11 x 43

Prime factors of 488 are 2 x 2 x 2 x 61

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

Steps to Calculate GCD of 945, 378, 946, 488 using LCM Formula

Given numbers are 945, 378, 946, 488

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

Apply this formula for all numbers.

Step1:

LCM(945, 378) = 1890

GCD(945, 378) = ( 945 x 378 ) / 1890

= 945 / 378

= 945


Step2:

LCM(189, 946) = 178794

GCD(189, 946) = ( 189 x 946 ) / 178794

= 189 / 946

= 189


Step3:

LCM(1, 488) = 488

GCD(1, 488) = ( 1 x 488 ) / 488

= 1 / 488

= 1


So, Greatest Common Divisor of 945, 378, 946, 488 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 378, 946, 488

Given numbers are 945, 378, 946, 488
The greatest common divisor of numbers 945, 378, 946, 488 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 378, 946, 488 is 1.

FAQs on GCD of 945, 378, 946, 488 Calculator

1. What is the GCD of 945, 378, 946, 488?

GCD of given numbers 945, 378, 946, 488 is 1


2. How to calculate the greatest common divisor of 945, 378, 946, 488?

We can find the highest common divisor of 945, 378, 946, 488 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 945, 378, 946, 488 i.e 1.


3. How can I use the GCD of 945, 378, 946, 488Calculator?

Out the numbers 945, 378, 946, 488 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.