GCD of 676, 978, 140, 343 Calculator

Given Input numbers are 676, 978, 140, 343

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (676, 978, 140, 343) = 1.

Given numbers are 676, 978, 140, 343

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 978 are 2 x 3 x 163

Prime factors of 140 are 2 x 2 x 5 x 7

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 676, 978, 140, 343

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

Apply this formula for all numbers.

Step1:

LCM(676, 978) = 330564

GCD(676, 978) = ( 676 x 978 ) / 330564

= 676 / 978

= 676

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 343) = 686

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

= 2 / 343

= 2

So, Greatest Common Divisor of 676, 978, 140, 343 is 1

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Given numbers are 676, 978, 140, 343
The greatest common divisor of numbers 676, 978, 140, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 978, 140, 343 is 1.

1. What is the GCD of 676, 978, 140, 343?

GCD of given numbers 676, 978, 140, 343 is 1

2. How to calculate the greatest common divisor of 676, 978, 140, 343?

We can find the highest common divisor of 676, 978, 140, 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 676, 978, 140, 343 i.e 1.

3. How can I use the GCD of 676, 978, 140, 343Calculator?

Out the numbers 676, 978, 140, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.