GCD of 354, 846, 700, 998 Calculator

Given Input numbers are 354, 846, 700, 998

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (354, 846, 700, 998) = 2.

Given numbers are 354, 846, 700, 998

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

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

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

Prime factors of 998 are 2 x 499

The highest common occurrence is 2¹

Therefore, GCD of 354, 846, 700, 998 is 2.

Given numbers are 354, 846, 700, 998

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

Apply this formula for all numbers.

Step1:

LCM(354, 846) = 49914

GCD(354, 846) = ( 354 x 846 ) / 49914

= 354 / 846

= 354

Step2:

LCM(6, 700) = 2100

GCD(6, 700) = ( 6 x 700 ) / 2100

= 6 / 700

= 6

Step3:

LCM(2, 998) = 998

GCD(2, 998) = ( 2 x 998 ) / 998

= 2 / 998

= 2

So, Greatest Common Divisor of 354, 846, 700, 998 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 898, 626, 468, 664
• GCD of 769, 307, 998, 344
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• GCD of 443, 411, 894, 984
• GCD of 756, 479, 475, 609

Given numbers are 354, 846, 700, 998
The greatest common divisor of numbers 354, 846, 700, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 846, 700, 998 is 2.

1. What is the GCD of 354, 846, 700, 998?

GCD of given numbers 354, 846, 700, 998 is 2

2. How to calculate the greatest common divisor of 354, 846, 700, 998?

We can find the highest common divisor of 354, 846, 700, 998 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 354, 846, 700, 998 i.e 2.

3. How can I use the GCD of 354, 846, 700, 998Calculator?

Out the numbers 354, 846, 700, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.