GCD of 100, 680, 343, 684 Calculator

Given Input numbers are 100, 680, 343, 684

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (100, 680, 343, 684) = 1.

Given numbers are 100, 680, 343, 684

The list of prime factors of all numbers are

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

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

Prime factors of 343 are 7 x 7 x 7

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

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

Given numbers are 100, 680, 343, 684

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

Apply this formula for all numbers.

Step1:

LCM(100, 680) = 3400

GCD(100, 680) = ( 100 x 680 ) / 3400

= 100 / 680

= 100

Step2:

LCM(20, 343) = 6860

GCD(20, 343) = ( 20 x 343 ) / 6860

= 20 / 343

= 20

Step3:

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

= 1 / 684

= 1

So, Greatest Common Divisor of 100, 680, 343, 684 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 717, 680, 685
• GCD of 833, 626, 781, 354
• GCD of 544, 121, 515, 803
• GCD of 855, 201, 897, 662
• GCD of 456, 538, 121, 892

Given numbers are 100, 680, 343, 684
The greatest common divisor of numbers 100, 680, 343, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 680, 343, 684 is 1.

1. What is the GCD of 100, 680, 343, 684?

GCD of given numbers 100, 680, 343, 684 is 1

2. How to calculate the greatest common divisor of 100, 680, 343, 684?

We can find the highest common divisor of 100, 680, 343, 684 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, 680, 343, 684 i.e 1.

3. How can I use the GCD of 100, 680, 343, 684Calculator?

Out the numbers 100, 680, 343, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.