Highest Common Factor of 4983, 3217 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 4983, 3217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4983, 3217 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 4983, 3217 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 4983, 3217 is 1.

HCF(4983, 3217) = 1

HCF of 4983, 3217 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 4983, 3217 is 1.

Highest Common Factor of 4983,3217 using Euclid's algorithm

Highest Common Factor of 4983,3217 is 1

Step 1: Since 4983 > 3217, we apply the division lemma to 4983 and 3217, to get

4983 = 3217 x 1 + 1766

Step 2: Since the reminder 3217 ≠ 0, we apply division lemma to 1766 and 3217, to get

3217 = 1766 x 1 + 1451

Step 3: We consider the new divisor 1766 and the new remainder 1451, and apply the division lemma to get

1766 = 1451 x 1 + 315

We consider the new divisor 1451 and the new remainder 315,and apply the division lemma to get

1451 = 315 x 4 + 191

We consider the new divisor 315 and the new remainder 191,and apply the division lemma to get

315 = 191 x 1 + 124

We consider the new divisor 191 and the new remainder 124,and apply the division lemma to get

191 = 124 x 1 + 67

We consider the new divisor 124 and the new remainder 67,and apply the division lemma to get

124 = 67 x 1 + 57

We consider the new divisor 67 and the new remainder 57,and apply the division lemma to get

67 = 57 x 1 + 10

We consider the new divisor 57 and the new remainder 10,and apply the division lemma to get

57 = 10 x 5 + 7

We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get

10 = 7 x 1 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

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

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4983 and 3217 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(67,57) = HCF(124,67) = HCF(191,124) = HCF(315,191) = HCF(1451,315) = HCF(1766,1451) = HCF(3217,1766) = HCF(4983,3217) .

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Frequently Asked Questions on HCF of 4983, 3217 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 4983, 3217?

Answer: HCF of 4983, 3217 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4983, 3217 using Euclid's Algorithm?

Answer: For arbitrary numbers 4983, 3217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.