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GCD of 672, 945, 749, 195 Calculator

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


Online GCD Calculator is useful to find the GCD of 672, 945, 749, 195 quickly. Get the easiest ways to solve the greatest common divisor of 672, 945, 749, 195 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 672, 945, 749, 195 with Factoring?

Given Input numbers are 672, 945, 749, 195

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195


GCD of numbers is the greatest common divisor

So, the GCD (672, 945, 749, 195) = 1.

Find GCD of 672, 945, 749, 195 using Prime Factorization

Given numbers are 672, 945, 749, 195

The list of prime factors of all numbers are

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

Prime factors of 749 are 7 x 107

Prime factors of 195 are 3 x 5 x 13

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

Steps to Calculate GCD of 672, 945, 749, 195 using LCM Formula

Given numbers are 672, 945, 749, 195

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

Apply this formula for all numbers.

Step1:

LCM(672, 945) = 30240

GCD(672, 945) = ( 672 x 945 ) / 30240

= 672 / 945

= 672


Step2:

LCM(21, 749) = 2247

GCD(21, 749) = ( 21 x 749 ) / 2247

= 21 / 749

= 21


Step3:

LCM(7, 195) = 1365

GCD(7, 195) = ( 7 x 195 ) / 1365

= 7 / 195

= 7


So, Greatest Common Divisor of 672, 945, 749, 195 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 672, 945, 749, 195

Given numbers are 672, 945, 749, 195
The greatest common divisor of numbers 672, 945, 749, 195 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 945, 749, 195 is 1.

FAQs on GCD of 672, 945, 749, 195 Calculator

1. What is the GCD of 672, 945, 749, 195?

GCD of given numbers 672, 945, 749, 195 is 1


2. How to calculate the greatest common divisor of 672, 945, 749, 195?

We can find the highest common divisor of 672, 945, 749, 195 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 672, 945, 749, 195 i.e 1.


3. How can I use the GCD of 672, 945, 749, 195Calculator?

Out the numbers 672, 945, 749, 195 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.