GCD of 298, 200, 971, 674 Calculator

Given Input numbers are 298, 200, 971, 674

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

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (298, 200, 971, 674) = 1.

Given numbers are 298, 200, 971, 674

The list of prime factors of all numbers are

Prime factors of 298 are 2 x 149

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 971 are 971

Prime factors of 674 are 2 x 337

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

Given numbers are 298, 200, 971, 674

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

Apply this formula for all numbers.

Step1:

LCM(298, 200) = 29800

GCD(298, 200) = ( 298 x 200 ) / 29800

= 298 / 200

= 298

Step2:

LCM(2, 971) = 1942

GCD(2, 971) = ( 2 x 971 ) / 1942

= 2 / 971

= 2

Step3:

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

= 1 / 674

= 1

So, Greatest Common Divisor of 298, 200, 971, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 822, 710, 751
• GCD of 930, 313, 853, 652
• GCD of 721, 124, 180, 460
• GCD of 713, 263, 753, 995
• GCD of 102, 920, 147, 666

Given numbers are 298, 200, 971, 674
The greatest common divisor of numbers 298, 200, 971, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 200, 971, 674 is 1.

1. What is the GCD of 298, 200, 971, 674?

GCD of given numbers 298, 200, 971, 674 is 1

2. How to calculate the greatest common divisor of 298, 200, 971, 674?

We can find the highest common divisor of 298, 200, 971, 674 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 298, 200, 971, 674 i.e 1.

3. How can I use the GCD of 298, 200, 971, 674Calculator?

Out the numbers 298, 200, 971, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.