GCD of 978, 840, 343, 126 Calculator

Given Input numbers are 978, 840, 343, 126

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

Divisors of 978 :

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

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (978, 840, 343, 126) = 1.

Given numbers are 978, 840, 343, 126

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 343 are 7 x 7 x 7

Prime factors of 126 are 2 x 3 x 3 x 7

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

Given numbers are 978, 840, 343, 126

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

Apply this formula for all numbers.

Step1:

LCM(978, 840) = 136920

GCD(978, 840) = ( 978 x 840 ) / 136920

= 978 / 840

= 978

Step2:

LCM(6, 343) = 2058

GCD(6, 343) = ( 6 x 343 ) / 2058

= 6 / 343

= 6

Step3:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1

So, Greatest Common Divisor of 978, 840, 343, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 768, 932, 655, 797
• GCD of 911, 636, 624, 476
• GCD of 196, 766, 408, 606
• GCD of 785, 176, 990, 616
• GCD of 243, 515, 868, 204

Given numbers are 978, 840, 343, 126
The greatest common divisor of numbers 978, 840, 343, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 840, 343, 126 is 1.

1. What is the GCD of 978, 840, 343, 126?

GCD of given numbers 978, 840, 343, 126 is 1

2. How to calculate the greatest common divisor of 978, 840, 343, 126?

We can find the highest common divisor of 978, 840, 343, 126 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 978, 840, 343, 126 i.e 1.

3. How can I use the GCD of 978, 840, 343, 126Calculator?

Out the numbers 978, 840, 343, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.