GCD of 100, 334, 77, 277 Calculator

Given Input numbers are 100, 334, 77, 277

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 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 277 :

The positive integer divisors of 277 that completely divides 277 are.

1, 277

GCD of numbers is the greatest common divisor

So, the GCD (100, 334, 77, 277) = 1.

Given numbers are 100, 334, 77, 277

The list of prime factors of all numbers are

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

Prime factors of 334 are 2 x 167

Prime factors of 77 are 7 x 11

Prime factors of 277 are 277

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

Given numbers are 100, 334, 77, 277

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

Apply this formula for all numbers.

Step1:

LCM(100, 334) = 16700

GCD(100, 334) = ( 100 x 334 ) / 16700

= 100 / 334

= 100

Step2:

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

= 2 / 77

= 2

Step3:

LCM(1, 277) = 277

GCD(1, 277) = ( 1 x 277 ) / 277

= 1 / 277

= 1

So, Greatest Common Divisor of 100, 334, 77, 277 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 591, 52, 981
• GCD of 275, 564, 34, 465
• GCD of 404, 597, 16, 400
• GCD of 960, 410, 99, 840
• GCD of 400, 828, 61, 722

Given numbers are 100, 334, 77, 277
The greatest common divisor of numbers 100, 334, 77, 277 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 334, 77, 277 is 1.

1. What is the GCD of 100, 334, 77, 277?

GCD of given numbers 100, 334, 77, 277 is 1

2. How to calculate the greatest common divisor of 100, 334, 77, 277?

We can find the highest common divisor of 100, 334, 77, 277 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, 334, 77, 277 i.e 1.

3. How can I use the GCD of 100, 334, 77, 277Calculator?

Out the numbers 100, 334, 77, 277 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.