GCD of 980, 474, 814, 343 Calculator

Given Input numbers are 980, 474, 814, 343

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

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 474 :

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

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (980, 474, 814, 343) = 1.

Given numbers are 980, 474, 814, 343

The list of prime factors of all numbers are

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 474 are 2 x 3 x 79

Prime factors of 814 are 2 x 11 x 37

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 980, 474, 814, 343

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

Apply this formula for all numbers.

Step1:

LCM(980, 474) = 232260

GCD(980, 474) = ( 980 x 474 ) / 232260

= 980 / 474

= 980

Step2:

LCM(2, 814) = 814

GCD(2, 814) = ( 2 x 814 ) / 814

= 2 / 814

= 2

Step3:

LCM(2, 343) = 686

GCD(2, 343) = ( 2 x 343 ) / 686

= 2 / 343

= 2

So, Greatest Common Divisor of 980, 474, 814, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 508, 664, 145, 197
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Given numbers are 980, 474, 814, 343
The greatest common divisor of numbers 980, 474, 814, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 474, 814, 343 is 1.

1. What is the GCD of 980, 474, 814, 343?

GCD of given numbers 980, 474, 814, 343 is 1

2. How to calculate the greatest common divisor of 980, 474, 814, 343?

We can find the highest common divisor of 980, 474, 814, 343 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 980, 474, 814, 343 i.e 1.

3. How can I use the GCD of 980, 474, 814, 343Calculator?

Out the numbers 980, 474, 814, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.