Highest Common Factor of 4217, 1518 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 4217, 1518 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4217, 1518 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 4217, 1518 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 4217, 1518 is 1.

HCF(4217, 1518) = 1

HCF of 4217, 1518 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 4217, 1518 is 1.

Highest Common Factor of 4217,1518 using Euclid's algorithm

Highest Common Factor of 4217,1518 is 1

Step 1: Since 4217 > 1518, we apply the division lemma to 4217 and 1518, to get

4217 = 1518 x 2 + 1181

Step 2: Since the reminder 1518 ≠ 0, we apply division lemma to 1181 and 1518, to get

1518 = 1181 x 1 + 337

Step 3: We consider the new divisor 1181 and the new remainder 337, and apply the division lemma to get

1181 = 337 x 3 + 170

We consider the new divisor 337 and the new remainder 170,and apply the division lemma to get

337 = 170 x 1 + 167

We consider the new divisor 170 and the new remainder 167,and apply the division lemma to get

170 = 167 x 1 + 3

We consider the new divisor 167 and the new remainder 3,and apply the division lemma to get

167 = 3 x 55 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4217 and 1518 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(167,3) = HCF(170,167) = HCF(337,170) = HCF(1181,337) = HCF(1518,1181) = HCF(4217,1518) .

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Frequently Asked Questions on HCF of 4217, 1518 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 4217, 1518?

Answer: HCF of 4217, 1518 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4217, 1518 using Euclid's Algorithm?

Answer: For arbitrary numbers 4217, 1518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.