GCD of 334, 700, 338, 948 Calculator

Given Input numbers are 334, 700, 338, 948

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

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

GCD of numbers is the greatest common divisor

So, the GCD (334, 700, 338, 948) = 2.

Given numbers are 334, 700, 338, 948

The list of prime factors of all numbers are

Prime factors of 334 are 2 x 167

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

Prime factors of 338 are 2 x 13 x 13

Prime factors of 948 are 2 x 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 334, 700, 338, 948 is 2.

Given numbers are 334, 700, 338, 948

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

Apply this formula for all numbers.

Step1:

LCM(334, 700) = 116900

GCD(334, 700) = ( 334 x 700 ) / 116900

= 334 / 700

= 334

Step2:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

Step3:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

So, Greatest Common Divisor of 334, 700, 338, 948 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 272, 545, 891, 297
• GCD of 153, 990, 664, 688
• GCD of 532, 147, 677, 616
• GCD of 324, 877, 139, 455
• GCD of 423, 325, 740, 986

Given numbers are 334, 700, 338, 948
The greatest common divisor of numbers 334, 700, 338, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 700, 338, 948 is 2.

1. What is the GCD of 334, 700, 338, 948?

GCD of given numbers 334, 700, 338, 948 is 2

2. How to calculate the greatest common divisor of 334, 700, 338, 948?

We can find the highest common divisor of 334, 700, 338, 948 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 334, 700, 338, 948 i.e 2.

3. How can I use the GCD of 334, 700, 338, 948Calculator?

Out the numbers 334, 700, 338, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.