GCD of 343, 980, 455 Calculator

Given Input numbers are 343, 980, 455

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 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

GCD of numbers is the greatest common divisor

So, the GCD (343, 980, 455) = 7.

Given numbers are 343, 980, 455

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 455 are 5 x 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 343, 980, 455 is 7.

Given numbers are 343, 980, 455

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, 455) = 3185

GCD(49, 455) = ( 49 x 455 ) / 3185

= 49 / 455

= 49

So, Greatest Common Divisor of 343, 980, 455 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 463, 505, 628
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Given numbers are 343, 980, 455
The greatest common divisor of numbers 343, 980, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 980, 455 is 7.

1. What is the GCD of 343, 980, 455?

GCD of given numbers 343, 980, 455 is 7

2. How to calculate the greatest common divisor of 343, 980, 455?

We can find the highest common divisor of 343, 980, 455 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, 455 i.e 7.

3. How can I use the GCD of 343, 980, 455Calculator?

Out the numbers 343, 980, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.