Highest Common Factor of 324, 894, 17 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 324, 894, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 324, 894, 17 is 1 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 324, 894, 17 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 324, 894, 17 is 1.

HCF(324, 894, 17) = 1

HCF of 324, 894, 17 using Euclid's algorithm

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

HCF of:

Highest common factor (HCF) of 324, 894, 17 is 1.

Highest Common Factor of 324,894,17 using Euclid's algorithm

Highest Common Factor of 324,894,17 is 1

Step 1: Since 894 > 324, we apply the division lemma to 894 and 324, to get

894 = 324 x 2 + 246

Step 2: Since the reminder 324 ≠ 0, we apply division lemma to 246 and 324, to get

324 = 246 x 1 + 78

Step 3: We consider the new divisor 246 and the new remainder 78, and apply the division lemma to get

246 = 78 x 3 + 12

We consider the new divisor 78 and the new remainder 12,and apply the division lemma to get

78 = 12 x 6 + 6

We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get

12 = 6 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 324 and 894 is 6

Notice that 6 = HCF(12,6) = HCF(78,12) = HCF(246,78) = HCF(324,246) = HCF(894,324) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 17 > 6, we apply the division lemma to 17 and 6, to get

17 = 6 x 2 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 17 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) .

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Frequently Asked Questions on HCF of 324, 894, 17 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 324, 894, 17?

Answer: HCF of 324, 894, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 324, 894, 17 using Euclid's Algorithm?

Answer: For arbitrary numbers 324, 894, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.