GCD of 354, 700, 343, 967 Calculator

Given Input numbers are 354, 700, 343, 967

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

GCD of numbers is the greatest common divisor

So, the GCD (354, 700, 343, 967) = 1.

Given numbers are 354, 700, 343, 967

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 343 are 7 x 7 x 7

Prime factors of 967 are 967

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

Given numbers are 354, 700, 343, 967

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

Apply this formula for all numbers.

Step1:

LCM(354, 700) = 123900

GCD(354, 700) = ( 354 x 700 ) / 123900

= 354 / 700

= 354

Step2:

LCM(2, 343) = 686

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

= 2 / 343

= 2

Step3:

LCM(1, 967) = 967

GCD(1, 967) = ( 1 x 967 ) / 967

= 1 / 967

= 1

So, Greatest Common Divisor of 354, 700, 343, 967 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 108, 615, 519
• GCD of 744, 967, 607, 540
• GCD of 881, 789, 780, 271
• GCD of 186, 449, 546, 611
• GCD of 964, 541, 843, 505

Given numbers are 354, 700, 343, 967
The greatest common divisor of numbers 354, 700, 343, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 700, 343, 967 is 1.

1. What is the GCD of 354, 700, 343, 967?

GCD of given numbers 354, 700, 343, 967 is 1

2. How to calculate the greatest common divisor of 354, 700, 343, 967?

We can find the highest common divisor of 354, 700, 343, 967 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 354, 700, 343, 967 i.e 1.

3. How can I use the GCD of 354, 700, 343, 967Calculator?

Out the numbers 354, 700, 343, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.