GCD of 838, 542, 418, 700 Calculator

Given Input numbers are 838, 542, 418, 700

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

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

GCD of numbers is the greatest common divisor

So, the GCD (838, 542, 418, 700) = 2.

Given numbers are 838, 542, 418, 700

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 542 are 2 x 271

Prime factors of 418 are 2 x 11 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 838, 542, 418, 700 is 2.

Given numbers are 838, 542, 418, 700

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

Apply this formula for all numbers.

Step1:

LCM(838, 542) = 227098

GCD(838, 542) = ( 838 x 542 ) / 227098

= 838 / 542

= 838

Step2:

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

= 2 / 418

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 838, 542, 418, 700 is 2

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• GCD of 422, 980, 976, 581
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Given numbers are 838, 542, 418, 700
The greatest common divisor of numbers 838, 542, 418, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 542, 418, 700 is 2.

1. What is the GCD of 838, 542, 418, 700?

GCD of given numbers 838, 542, 418, 700 is 2

2. How to calculate the greatest common divisor of 838, 542, 418, 700?

We can find the highest common divisor of 838, 542, 418, 700 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 838, 542, 418, 700 i.e 2.

3. How can I use the GCD of 838, 542, 418, 700Calculator?

Out the numbers 838, 542, 418, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.