GCD of 490, 350, 474, 269 Calculator

Given Input numbers are 490, 350, 474, 269

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 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

GCD of numbers is the greatest common divisor

So, the GCD (490, 350, 474, 269) = 1.

Given numbers are 490, 350, 474, 269

The list of prime factors of all numbers are

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

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 474 are 2 x 3 x 79

Prime factors of 269 are 269

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

Given numbers are 490, 350, 474, 269

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

Apply this formula for all numbers.

Step1:

LCM(490, 350) = 2450

GCD(490, 350) = ( 490 x 350 ) / 2450

= 490 / 350

= 490

Step2:

LCM(70, 474) = 16590

GCD(70, 474) = ( 70 x 474 ) / 16590

= 70 / 474

= 70

Step3:

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

= 2 / 269

= 2

So, Greatest Common Divisor of 490, 350, 474, 269 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 789, 450, 487
• GCD of 202, 944, 624, 295
• GCD of 762, 489, 573, 849
• GCD of 908, 653, 883, 850
• GCD of 197, 841, 218, 859

Given numbers are 490, 350, 474, 269
The greatest common divisor of numbers 490, 350, 474, 269 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 350, 474, 269 is 1.

1. What is the GCD of 490, 350, 474, 269?

GCD of given numbers 490, 350, 474, 269 is 1

2. How to calculate the greatest common divisor of 490, 350, 474, 269?

We can find the highest common divisor of 490, 350, 474, 269 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, 350, 474, 269 i.e 1.

3. How can I use the GCD of 490, 350, 474, 269Calculator?

Out the numbers 490, 350, 474, 269 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.