Highest Common Factor of 3546, 6817, 46867 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 3546, 6817, 46867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3546, 6817, 46867 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 3546, 6817, 46867 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 3546, 6817, 46867 is 1.

HCF(3546, 6817, 46867) = 1

HCF of 3546, 6817, 46867 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 3546, 6817, 46867 is 1.

Highest Common Factor of 3546,6817,46867 using Euclid's algorithm

Highest Common Factor of 3546,6817,46867 is 1

Step 1: Since 6817 > 3546, we apply the division lemma to 6817 and 3546, to get

6817 = 3546 x 1 + 3271

Step 2: Since the reminder 3546 ≠ 0, we apply division lemma to 3271 and 3546, to get

3546 = 3271 x 1 + 275

Step 3: We consider the new divisor 3271 and the new remainder 275, and apply the division lemma to get

3271 = 275 x 11 + 246

We consider the new divisor 275 and the new remainder 246,and apply the division lemma to get

275 = 246 x 1 + 29

We consider the new divisor 246 and the new remainder 29,and apply the division lemma to get

246 = 29 x 8 + 14

We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get

29 = 14 x 2 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3546 and 6817 is 1

Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(246,29) = HCF(275,246) = HCF(3271,275) = HCF(3546,3271) = HCF(6817,3546) .

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

Step 1: Since 46867 > 1, we apply the division lemma to 46867 and 1, to get

46867 = 1 x 46867 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46867 is 1

Notice that 1 = HCF(46867,1) .

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Frequently Asked Questions on HCF of 3546, 6817, 46867 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 3546, 6817, 46867?

Answer: HCF of 3546, 6817, 46867 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3546, 6817, 46867 using Euclid's Algorithm?

Answer: For arbitrary numbers 3546, 6817, 46867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.