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GCD of 638, 700, 745, 448 Calculator

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


Online GCD Calculator is useful to find the GCD of 638, 700, 745, 448 quickly. Get the easiest ways to solve the greatest common divisor of 638, 700, 745, 448 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 638, 700, 745, 448 with Factoring?

Given Input numbers are 638, 700, 745, 448

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

Divisors of 638 :

The positive integer divisors of 638 that completely divides 638 are.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 745 :

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

1, 5, 149, 745

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (638, 700, 745, 448) = 1.

Find GCD of 638, 700, 745, 448 using Prime Factorization

Given numbers are 638, 700, 745, 448

The list of prime factors of all numbers are

Prime factors of 638 are 2 x 11 x 29

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 745 are 5 x 149

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Steps to Calculate GCD of 638, 700, 745, 448 using LCM Formula

Given numbers are 638, 700, 745, 448

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

Apply this formula for all numbers.

Step1:

LCM(638, 700) = 223300

GCD(638, 700) = ( 638 x 700 ) / 223300

= 638 / 700

= 638


Step2:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2


Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1


So, Greatest Common Divisor of 638, 700, 745, 448 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 638, 700, 745, 448

Given numbers are 638, 700, 745, 448
The greatest common divisor of numbers 638, 700, 745, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 638, 700, 745, 448 is 1.

FAQs on GCD of 638, 700, 745, 448 Calculator

1. What is the GCD of 638, 700, 745, 448?

GCD of given numbers 638, 700, 745, 448 is 1


2. How to calculate the greatest common divisor of 638, 700, 745, 448?

We can find the highest common divisor of 638, 700, 745, 448 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 638, 700, 745, 448 i.e 1.


3. How can I use the GCD of 638, 700, 745, 448Calculator?

Out the numbers 638, 700, 745, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.