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GCD of 378, 497, 245, 805 Calculator

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


Online GCD Calculator is useful to find the GCD of 378, 497, 245, 805 quickly. Get the easiest ways to solve the greatest common divisor of 378, 497, 245, 805 i.e 7 in different methods as follows.

GCD of

How to Find GCD of Numbers 378, 497, 245, 805 with Factoring?

Given Input numbers are 378, 497, 245, 805

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805


GCD of numbers is the greatest common divisor

So, the GCD (378, 497, 245, 805) = 7.

Find GCD of 378, 497, 245, 805 using Prime Factorization

Given numbers are 378, 497, 245, 805

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 497 are 7 x 71

Prime factors of 245 are 5 x 7 x 7

Prime factors of 805 are 5 x 7 x 23

The highest common occurrence is 71

Therefore, GCD of 378, 497, 245, 805 is 7.

Steps to Calculate GCD of 378, 497, 245, 805 using LCM Formula

Given numbers are 378, 497, 245, 805

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

Apply this formula for all numbers.

Step1:

LCM(378, 497) = 26838

GCD(378, 497) = ( 378 x 497 ) / 26838

= 378 / 497

= 378


Step2:

LCM(7, 245) = 245

GCD(7, 245) = ( 7 x 245 ) / 245

= 7 / 245

= 7


Step3:

LCM(7, 805) = 805

GCD(7, 805) = ( 7 x 805 ) / 805

= 7 / 805

= 7


So, Greatest Common Divisor of 378, 497, 245, 805 is 7

GCD of Numbers Calculation Examples

Greatest Common Divisor of 378, 497, 245, 805

Given numbers are 378, 497, 245, 805
The greatest common divisor of numbers 378, 497, 245, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 497, 245, 805 is 7.

FAQs on GCD of 378, 497, 245, 805 Calculator

1. What is the GCD of 378, 497, 245, 805?

GCD of given numbers 378, 497, 245, 805 is 7


2. How to calculate the greatest common divisor of 378, 497, 245, 805?

We can find the highest common divisor of 378, 497, 245, 805 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 378, 497, 245, 805 i.e 7.


3. How can I use the GCD of 378, 497, 245, 805Calculator?

Out the numbers 378, 497, 245, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.