GCD of 100, 626, 989, 343 Calculator

Given Input numbers are 100, 626, 989, 343

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (100, 626, 989, 343) = 1.

Given numbers are 100, 626, 989, 343

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 626 are 2 x 313

Prime factors of 989 are 23 x 43

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 100, 626, 989, 343

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

Apply this formula for all numbers.

Step1:

LCM(100, 626) = 31300

GCD(100, 626) = ( 100 x 626 ) / 31300

= 100 / 626

= 100

Step2:

LCM(2, 989) = 1978

GCD(2, 989) = ( 2 x 989 ) / 1978

= 2 / 989

= 2

Step3:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

So, Greatest Common Divisor of 100, 626, 989, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 608, 960, 858, 330
• GCD of 443, 121, 907, 247
• GCD of 210, 410, 598, 813
• GCD of 334, 847, 237, 232
• GCD of 608, 867, 394, 480

Given numbers are 100, 626, 989, 343
The greatest common divisor of numbers 100, 626, 989, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 626, 989, 343 is 1.

1. What is the GCD of 100, 626, 989, 343?

GCD of given numbers 100, 626, 989, 343 is 1

2. How to calculate the greatest common divisor of 100, 626, 989, 343?

We can find the highest common divisor of 100, 626, 989, 343 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 100, 626, 989, 343 i.e 1.

3. How can I use the GCD of 100, 626, 989, 343Calculator?

Out the numbers 100, 626, 989, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.