GCD of 490, 175, 747, 238 Calculator

Given Input numbers are 490, 175, 747, 238

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (490, 175, 747, 238) = 1.

Given numbers are 490, 175, 747, 238

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 175 are 5 x 5 x 7

Prime factors of 747 are 3 x 3 x 83

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 490, 175, 747, 238

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

Apply this formula for all numbers.

Step1:

LCM(490, 175) = 2450

GCD(490, 175) = ( 490 x 175 ) / 2450

= 490 / 175

= 490

Step2:

LCM(35, 747) = 26145

GCD(35, 747) = ( 35 x 747 ) / 26145

= 35 / 747

= 35

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 490, 175, 747, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 250, 820, 656
• GCD of 124, 372, 242, 284
• GCD of 405, 364, 899, 996
• GCD of 714, 383, 713, 284
• GCD of 998, 542, 813, 266

Given numbers are 490, 175, 747, 238
The greatest common divisor of numbers 490, 175, 747, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 175, 747, 238 is 1.

1. What is the GCD of 490, 175, 747, 238?

GCD of given numbers 490, 175, 747, 238 is 1

2. How to calculate the greatest common divisor of 490, 175, 747, 238?

We can find the highest common divisor of 490, 175, 747, 238 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 490, 175, 747, 238 i.e 1.

3. How can I use the GCD of 490, 175, 747, 238Calculator?

Out the numbers 490, 175, 747, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.