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GCD of 748, 892, 133, 146 Calculator

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


Online GCD Calculator is useful to find the GCD of 748, 892, 133, 146 quickly. Get the easiest ways to solve the greatest common divisor of 748, 892, 133, 146 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 892, 133, 146 with Factoring?

Given Input numbers are 748, 892, 133, 146

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 892 :

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

1, 2, 4, 223, 446, 892

Divisors of 133 :

The positive integer divisors of 133 that completely divides 133 are.

1, 7, 19, 133

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146


GCD of numbers is the greatest common divisor

So, the GCD (748, 892, 133, 146) = 1.

Find GCD of 748, 892, 133, 146 using Prime Factorization

Given numbers are 748, 892, 133, 146

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 892 are 2 x 2 x 223

Prime factors of 133 are 7 x 19

Prime factors of 146 are 2 x 73

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

Steps to Calculate GCD of 748, 892, 133, 146 using LCM Formula

Given numbers are 748, 892, 133, 146

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

Apply this formula for all numbers.

Step1:

LCM(748, 892) = 166804

GCD(748, 892) = ( 748 x 892 ) / 166804

= 748 / 892

= 748


Step2:

LCM(4, 133) = 532

GCD(4, 133) = ( 4 x 133 ) / 532

= 4 / 133

= 4


Step3:

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

= 1 / 146

= 1


So, Greatest Common Divisor of 748, 892, 133, 146 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 892, 133, 146

Given numbers are 748, 892, 133, 146
The greatest common divisor of numbers 748, 892, 133, 146 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 892, 133, 146 is 1.

FAQs on GCD of 748, 892, 133, 146 Calculator

1. What is the GCD of 748, 892, 133, 146?

GCD of given numbers 748, 892, 133, 146 is 1


2. How to calculate the greatest common divisor of 748, 892, 133, 146?

We can find the highest common divisor of 748, 892, 133, 146 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 748, 892, 133, 146 i.e 1.


3. How can I use the GCD of 748, 892, 133, 146Calculator?

Out the numbers 748, 892, 133, 146 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.