GCD of 349, 257, 700, 221 Calculator

Given Input numbers are 349, 257, 700, 221

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

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (349, 257, 700, 221) = 1.

Given numbers are 349, 257, 700, 221

The list of prime factors of all numbers are

Prime factors of 349 are 349

Prime factors of 257 are 257

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 221 are 13 x 17

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

Given numbers are 349, 257, 700, 221

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

Apply this formula for all numbers.

Step1:

LCM(349, 257) = 89693

GCD(349, 257) = ( 349 x 257 ) / 89693

= 349 / 257

= 349

Step2:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 349, 257, 700, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 655, 720, 189
• GCD of 881, 472, 150, 136
• GCD of 127, 142, 589, 364
• GCD of 536, 250, 148, 547
• GCD of 947, 297, 119, 631

Given numbers are 349, 257, 700, 221
The greatest common divisor of numbers 349, 257, 700, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 349, 257, 700, 221 is 1.

1. What is the GCD of 349, 257, 700, 221?

GCD of given numbers 349, 257, 700, 221 is 1

2. How to calculate the greatest common divisor of 349, 257, 700, 221?

We can find the highest common divisor of 349, 257, 700, 221 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 349, 257, 700, 221 i.e 1.

3. How can I use the GCD of 349, 257, 700, 221Calculator?

Out the numbers 349, 257, 700, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.