Highest Common Factor of 4984, 8217 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 4984, 8217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4984, 8217 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 4984, 8217 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 4984, 8217 is 1.

HCF(4984, 8217) = 1

HCF of 4984, 8217 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 4984, 8217 is 1.

Highest Common Factor of 4984,8217 using Euclid's algorithm

Highest Common Factor of 4984,8217 is 1

Step 1: Since 8217 > 4984, we apply the division lemma to 8217 and 4984, to get

8217 = 4984 x 1 + 3233

Step 2: Since the reminder 4984 ≠ 0, we apply division lemma to 3233 and 4984, to get

4984 = 3233 x 1 + 1751

Step 3: We consider the new divisor 3233 and the new remainder 1751, and apply the division lemma to get

3233 = 1751 x 1 + 1482

We consider the new divisor 1751 and the new remainder 1482,and apply the division lemma to get

1751 = 1482 x 1 + 269

We consider the new divisor 1482 and the new remainder 269,and apply the division lemma to get

1482 = 269 x 5 + 137

We consider the new divisor 269 and the new remainder 137,and apply the division lemma to get

269 = 137 x 1 + 132

We consider the new divisor 137 and the new remainder 132,and apply the division lemma to get

137 = 132 x 1 + 5

We consider the new divisor 132 and the new remainder 5,and apply the division lemma to get

132 = 5 x 26 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 4984 and 8217 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(132,5) = HCF(137,132) = HCF(269,137) = HCF(1482,269) = HCF(1751,1482) = HCF(3233,1751) = HCF(4984,3233) = HCF(8217,4984) .

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Frequently Asked Questions on HCF of 4984, 8217 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 4984, 8217?

Answer: HCF of 4984, 8217 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4984, 8217 using Euclid's Algorithm?

Answer: For arbitrary numbers 4984, 8217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.