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GCD of 720, 672, 892, 745 Calculator

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


Online GCD Calculator is useful to find the GCD of 720, 672, 892, 745 quickly. Get the easiest ways to solve the greatest common divisor of 720, 672, 892, 745 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 720, 672, 892, 745 with Factoring?

Given Input numbers are 720, 672, 892, 745

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745


GCD of numbers is the greatest common divisor

So, the GCD (720, 672, 892, 745) = 1.

Find GCD of 720, 672, 892, 745 using Prime Factorization

Given numbers are 720, 672, 892, 745

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 892 are 2 x 2 x 223

Prime factors of 745 are 5 x 149

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

Steps to Calculate GCD of 720, 672, 892, 745 using LCM Formula

Given numbers are 720, 672, 892, 745

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

Apply this formula for all numbers.

Step1:

LCM(720, 672) = 10080

GCD(720, 672) = ( 720 x 672 ) / 10080

= 720 / 672

= 720


Step2:

LCM(48, 892) = 10704

GCD(48, 892) = ( 48 x 892 ) / 10704

= 48 / 892

= 48


Step3:

LCM(4, 745) = 2980

GCD(4, 745) = ( 4 x 745 ) / 2980

= 4 / 745

= 4


So, Greatest Common Divisor of 720, 672, 892, 745 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 720, 672, 892, 745

Given numbers are 720, 672, 892, 745
The greatest common divisor of numbers 720, 672, 892, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 672, 892, 745 is 1.

FAQs on GCD of 720, 672, 892, 745 Calculator

1. What is the GCD of 720, 672, 892, 745?

GCD of given numbers 720, 672, 892, 745 is 1


2. How to calculate the greatest common divisor of 720, 672, 892, 745?

We can find the highest common divisor of 720, 672, 892, 745 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 720, 672, 892, 745 i.e 1.


3. How can I use the GCD of 720, 672, 892, 745Calculator?

Out the numbers 720, 672, 892, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.