GCD of 800, 298, 379, 742 Calculator

Given Input numbers are 800, 298, 379, 742

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 379 :

The positive integer divisors of 379 that completely divides 379 are.

1, 379

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (800, 298, 379, 742) = 1.

Given numbers are 800, 298, 379, 742

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 298 are 2 x 149

Prime factors of 379 are 379

Prime factors of 742 are 2 x 7 x 53

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

Given numbers are 800, 298, 379, 742

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

Apply this formula for all numbers.

Step1:

LCM(800, 298) = 119200

GCD(800, 298) = ( 800 x 298 ) / 119200

= 800 / 298

= 800

Step2:

LCM(2, 379) = 758

GCD(2, 379) = ( 2 x 379 ) / 758

= 2 / 379

= 2

Step3:

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

= 1 / 742

= 1

So, Greatest Common Divisor of 800, 298, 379, 742 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 314, 224, 123
• GCD of 224, 628, 120, 393
• GCD of 707, 915, 733, 688
• GCD of 138, 505, 946, 760
• GCD of 794, 649, 441, 323

Given numbers are 800, 298, 379, 742
The greatest common divisor of numbers 800, 298, 379, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 298, 379, 742 is 1.

1. What is the GCD of 800, 298, 379, 742?

GCD of given numbers 800, 298, 379, 742 is 1

2. How to calculate the greatest common divisor of 800, 298, 379, 742?

We can find the highest common divisor of 800, 298, 379, 742 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 800, 298, 379, 742 i.e 1.

3. How can I use the GCD of 800, 298, 379, 742Calculator?

Out the numbers 800, 298, 379, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.