GCD of 100, 707, 428, 760 Calculator

Given Input numbers are 100, 707, 428, 760

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 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (100, 707, 428, 760) = 1.

Given numbers are 100, 707, 428, 760

The list of prime factors of all numbers are

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

Prime factors of 707 are 7 x 101

Prime factors of 428 are 2 x 2 x 107

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 100, 707, 428, 760

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

Apply this formula for all numbers.

Step1:

LCM(100, 707) = 70700

GCD(100, 707) = ( 100 x 707 ) / 70700

= 100 / 707

= 100

Step2:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 100, 707, 428, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 554, 166, 415
• GCD of 737, 466, 313, 236
• GCD of 292, 482, 384, 969
• GCD of 211, 490, 774, 409
• GCD of 514, 408, 441, 868

Given numbers are 100, 707, 428, 760
The greatest common divisor of numbers 100, 707, 428, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 707, 428, 760 is 1.

1. What is the GCD of 100, 707, 428, 760?

GCD of given numbers 100, 707, 428, 760 is 1

2. How to calculate the greatest common divisor of 100, 707, 428, 760?

We can find the highest common divisor of 100, 707, 428, 760 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, 707, 428, 760 i.e 1.

3. How can I use the GCD of 100, 707, 428, 760Calculator?

Out the numbers 100, 707, 428, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.