GCD of 100, 766, 498, 685 Calculator

Given Input numbers are 100, 766, 498, 685

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 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

GCD of numbers is the greatest common divisor

So, the GCD (100, 766, 498, 685) = 1.

Given numbers are 100, 766, 498, 685

The list of prime factors of all numbers are

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

Prime factors of 766 are 2 x 383

Prime factors of 498 are 2 x 3 x 83

Prime factors of 685 are 5 x 137

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

Given numbers are 100, 766, 498, 685

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

Apply this formula for all numbers.

Step1:

LCM(100, 766) = 38300

GCD(100, 766) = ( 100 x 766 ) / 38300

= 100 / 766

= 100

Step2:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

Step3:

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

= 2 / 685

= 2

So, Greatest Common Divisor of 100, 766, 498, 685 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 407, 739, 550, 173
• GCD of 585, 439, 345, 520
• GCD of 841, 589, 984, 695
• GCD of 517, 420, 956, 187
• GCD of 525, 857, 267, 690

Given numbers are 100, 766, 498, 685
The greatest common divisor of numbers 100, 766, 498, 685 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 766, 498, 685 is 1.

1. What is the GCD of 100, 766, 498, 685?

GCD of given numbers 100, 766, 498, 685 is 1

2. How to calculate the greatest common divisor of 100, 766, 498, 685?

We can find the highest common divisor of 100, 766, 498, 685 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, 766, 498, 685 i.e 1.

3. How can I use the GCD of 100, 766, 498, 685Calculator?

Out the numbers 100, 766, 498, 685 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.