GCD of 676, 846, 362, 454 Calculator

Given Input numbers are 676, 846, 362, 454

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

GCD of numbers is the greatest common divisor

So, the GCD (676, 846, 362, 454) = 2.

Given numbers are 676, 846, 362, 454

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 362 are 2 x 181

Prime factors of 454 are 2 x 227

The highest common occurrence is 2¹

Therefore, GCD of 676, 846, 362, 454 is 2.

Given numbers are 676, 846, 362, 454

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

Apply this formula for all numbers.

Step1:

LCM(676, 846) = 285948

GCD(676, 846) = ( 676 x 846 ) / 285948

= 676 / 846

= 676

Step2:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

Step3:

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

= 2 / 454

= 2

So, Greatest Common Divisor of 676, 846, 362, 454 is 2

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Given numbers are 676, 846, 362, 454
The greatest common divisor of numbers 676, 846, 362, 454 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 846, 362, 454 is 2.

1. What is the GCD of 676, 846, 362, 454?

GCD of given numbers 676, 846, 362, 454 is 2

2. How to calculate the greatest common divisor of 676, 846, 362, 454?

We can find the highest common divisor of 676, 846, 362, 454 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 676, 846, 362, 454 i.e 2.

3. How can I use the GCD of 676, 846, 362, 454Calculator?

Out the numbers 676, 846, 362, 454 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.