GCD of 343, 980, 128, 347 Calculator

Given Input numbers are 343, 980, 128, 347

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

Divisors of 343 :

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

1, 7, 49, 343

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 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 347 :

The positive integer divisors of 347 that completely divides 347 are.

1, 347

GCD of numbers is the greatest common divisor

So, the GCD (343, 980, 128, 347) = 1.

Given numbers are 343, 980, 128, 347

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

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

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 347 are 347

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

Given numbers are 343, 980, 128, 347

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

Apply this formula for all numbers.

Step1:

LCM(343, 980) = 6860

GCD(343, 980) = ( 343 x 980 ) / 6860

= 343 / 980

= 343

Step2:

LCM(49, 128) = 6272

GCD(49, 128) = ( 49 x 128 ) / 6272

= 49 / 128

= 49

Step3:

LCM(1, 347) = 347

GCD(1, 347) = ( 1 x 347 ) / 347

= 1 / 347

= 1

So, Greatest Common Divisor of 343, 980, 128, 347 is 1

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Given numbers are 343, 980, 128, 347
The greatest common divisor of numbers 343, 980, 128, 347 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 980, 128, 347 is 1.

1. What is the GCD of 343, 980, 128, 347?

GCD of given numbers 343, 980, 128, 347 is 1

2. How to calculate the greatest common divisor of 343, 980, 128, 347?

We can find the highest common divisor of 343, 980, 128, 347 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 343, 980, 128, 347 i.e 1.

3. How can I use the GCD of 343, 980, 128, 347Calculator?

Out the numbers 343, 980, 128, 347 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.