GCD of 561, 550, 776, 101 Calculator

Given Input numbers are 561, 550, 776, 101

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

GCD of numbers is the greatest common divisor

So, the GCD (561, 550, 776, 101) = 1.

Given numbers are 561, 550, 776, 101

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 101 are 101

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

Given numbers are 561, 550, 776, 101

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

Apply this formula for all numbers.

Step1:

LCM(561, 550) = 28050

GCD(561, 550) = ( 561 x 550 ) / 28050

= 561 / 550

= 561

Step2:

LCM(11, 776) = 8536

GCD(11, 776) = ( 11 x 776 ) / 8536

= 11 / 776

= 11

Step3:

LCM(1, 101) = 101

GCD(1, 101) = ( 1 x 101 ) / 101

= 1 / 101

= 1

So, Greatest Common Divisor of 561, 550, 776, 101 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 428, 794, 994, 576
• GCD of 412, 155, 282, 493
• GCD of 140, 708, 308, 422
• GCD of 832, 191, 914, 397
• GCD of 450, 356, 464, 168

Given numbers are 561, 550, 776, 101
The greatest common divisor of numbers 561, 550, 776, 101 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 550, 776, 101 is 1.

1. What is the GCD of 561, 550, 776, 101?

GCD of given numbers 561, 550, 776, 101 is 1

2. How to calculate the greatest common divisor of 561, 550, 776, 101?

We can find the highest common divisor of 561, 550, 776, 101 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 561, 550, 776, 101 i.e 1.

3. How can I use the GCD of 561, 550, 776, 101Calculator?

Out the numbers 561, 550, 776, 101 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.