GCD of 100, 772, 287, 991 Calculator

Given Input numbers are 100, 772, 287, 991

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 287 :

The positive integer divisors of 287 that completely divides 287 are.

1, 7, 41, 287

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (100, 772, 287, 991) = 1.

Given numbers are 100, 772, 287, 991

The list of prime factors of all numbers are

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

Prime factors of 772 are 2 x 2 x 193

Prime factors of 287 are 7 x 41

Prime factors of 991 are 991

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

Given numbers are 100, 772, 287, 991

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

Apply this formula for all numbers.

Step1:

LCM(100, 772) = 19300

GCD(100, 772) = ( 100 x 772 ) / 19300

= 100 / 772

= 100

Step2:

LCM(4, 287) = 1148

GCD(4, 287) = ( 4 x 287 ) / 1148

= 4 / 287

= 4

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 100, 772, 287, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 262, 902, 159, 495
• GCD of 652, 844, 894, 792
• GCD of 123, 366, 527, 174
• GCD of 821, 131, 329, 500
• GCD of 657, 677, 156, 220

Given numbers are 100, 772, 287, 991
The greatest common divisor of numbers 100, 772, 287, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 772, 287, 991 is 1.

1. What is the GCD of 100, 772, 287, 991?

GCD of given numbers 100, 772, 287, 991 is 1

2. How to calculate the greatest common divisor of 100, 772, 287, 991?

We can find the highest common divisor of 100, 772, 287, 991 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, 772, 287, 991 i.e 1.

3. How can I use the GCD of 100, 772, 287, 991Calculator?

Out the numbers 100, 772, 287, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.