Highest Common Factor of 600, 330 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 600, 330 i.e. 30 the largest integer that leaves a remainder zero for all numbers.

HCF of 600, 330 is 30 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 600, 330 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 600, 330 is 30.

HCF(600, 330) = 30

HCF of 600, 330 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 600, 330 is 30.

Highest Common Factor of 600,330 using Euclid's algorithm

Highest Common Factor of 600,330 is 30

Step 1: Since 600 > 330, we apply the division lemma to 600 and 330, to get

600 = 330 x 1 + 270

Step 2: Since the reminder 330 ≠ 0, we apply division lemma to 270 and 330, to get

330 = 270 x 1 + 60

Step 3: We consider the new divisor 270 and the new remainder 60, and apply the division lemma to get

270 = 60 x 4 + 30

We consider the new divisor 60 and the new remainder 30, and apply the division lemma to get

60 = 30 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 30, the HCF of 600 and 330 is 30

Notice that 30 = HCF(60,30) = HCF(270,60) = HCF(330,270) = HCF(600,330) .

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Frequently Asked Questions on HCF of 600, 330 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 600, 330?

Answer: HCF of 600, 330 is 30 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 600, 330 using Euclid's Algorithm?

Answer: For arbitrary numbers 600, 330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.