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GCD of 748, 140, 198, 373 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, 140, 198, 373 quickly. Get the easiest ways to solve the greatest common divisor of 748, 140, 198, 373 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 748, 140, 198, 373 with Factoring?

Given Input numbers are 748, 140, 198, 373

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 373 :

The positive integer divisors of 373 that completely divides 373 are.

1, 373


GCD of numbers is the greatest common divisor

So, the GCD (748, 140, 198, 373) = 1.

Find GCD of 748, 140, 198, 373 using Prime Factorization

Given numbers are 748, 140, 198, 373

The list of prime factors of all numbers are

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 373 are 373

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

Steps to Calculate GCD of 748, 140, 198, 373 using LCM Formula

Given numbers are 748, 140, 198, 373

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

Apply this formula for all numbers.

Step1:

LCM(748, 140) = 26180

GCD(748, 140) = ( 748 x 140 ) / 26180

= 748 / 140

= 748


Step2:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4


Step3:

LCM(2, 373) = 746

GCD(2, 373) = ( 2 x 373 ) / 746

= 2 / 373

= 2


So, Greatest Common Divisor of 748, 140, 198, 373 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 748, 140, 198, 373

Given numbers are 748, 140, 198, 373
The greatest common divisor of numbers 748, 140, 198, 373 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 140, 198, 373 is 1.

FAQs on GCD of 748, 140, 198, 373 Calculator

1. What is the GCD of 748, 140, 198, 373?

GCD of given numbers 748, 140, 198, 373 is 1


2. How to calculate the greatest common divisor of 748, 140, 198, 373?

We can find the highest common divisor of 748, 140, 198, 373 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, 140, 198, 373 i.e 1.


3. How can I use the GCD of 748, 140, 198, 373Calculator?

Out the numbers 748, 140, 198, 373 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.