GCD of 490, 245, 967, 714 Calculator

Given Input numbers are 490, 245, 967, 714

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 245 :

The positive integer divisors of 245 that completely divides 245 are.

1, 5, 7, 35, 49, 245

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (490, 245, 967, 714) = 1.

Given numbers are 490, 245, 967, 714

The list of prime factors of all numbers are

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

Prime factors of 245 are 5 x 7 x 7

Prime factors of 967 are 967

Prime factors of 714 are 2 x 3 x 7 x 17

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

Given numbers are 490, 245, 967, 714

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

Apply this formula for all numbers.

Step1:

LCM(490, 245) = 490

GCD(490, 245) = ( 490 x 245 ) / 490

= 490 / 245

= 490

Step2:

LCM(245, 967) = 236915

GCD(245, 967) = ( 245 x 967 ) / 236915

= 245 / 967

= 245

Step3:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

So, Greatest Common Divisor of 490, 245, 967, 714 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 968, 608, 214
• GCD of 441, 424, 436, 658
• GCD of 508, 809, 420, 724
• GCD of 370, 223, 269, 897
• GCD of 118, 277, 956, 905

Given numbers are 490, 245, 967, 714
The greatest common divisor of numbers 490, 245, 967, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 245, 967, 714 is 1.

1. What is the GCD of 490, 245, 967, 714?

GCD of given numbers 490, 245, 967, 714 is 1

2. How to calculate the greatest common divisor of 490, 245, 967, 714?

We can find the highest common divisor of 490, 245, 967, 714 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, 245, 967, 714 i.e 1.

3. How can I use the GCD of 490, 245, 967, 714Calculator?

Out the numbers 490, 245, 967, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.