GCD of 985, 343, 690, 726 Calculator

Given Input numbers are 985, 343, 690, 726

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

Divisors of 985 :

The positive integer divisors of 985 that completely divides 985 are.

1, 5, 197, 985

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

GCD of numbers is the greatest common divisor

So, the GCD (985, 343, 690, 726) = 1.

Given numbers are 985, 343, 690, 726

The list of prime factors of all numbers are

Prime factors of 985 are 5 x 197

Prime factors of 343 are 7 x 7 x 7

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 726 are 2 x 3 x 11 x 11

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

Given numbers are 985, 343, 690, 726

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

Apply this formula for all numbers.

Step1:

LCM(985, 343) = 337855

GCD(985, 343) = ( 985 x 343 ) / 337855

= 985 / 343

= 985

Step2:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

Step3:

LCM(1, 726) = 726

GCD(1, 726) = ( 1 x 726 ) / 726

= 1 / 726

= 1

So, Greatest Common Divisor of 985, 343, 690, 726 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 243, 848, 664, 546
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Given numbers are 985, 343, 690, 726
The greatest common divisor of numbers 985, 343, 690, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 985, 343, 690, 726 is 1.

1. What is the GCD of 985, 343, 690, 726?

GCD of given numbers 985, 343, 690, 726 is 1

2. How to calculate the greatest common divisor of 985, 343, 690, 726?

We can find the highest common divisor of 985, 343, 690, 726 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 985, 343, 690, 726 i.e 1.

3. How can I use the GCD of 985, 343, 690, 726Calculator?

Out the numbers 985, 343, 690, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.