Highest Common Factor of 4659, 8986, 84212 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 4659, 8986, 84212 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4659, 8986, 84212 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 4659, 8986, 84212 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 4659, 8986, 84212 is 1.

HCF(4659, 8986, 84212) = 1

HCF of 4659, 8986, 84212 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 4659, 8986, 84212 is 1.

Highest Common Factor of 4659,8986,84212 using Euclid's algorithm

Highest Common Factor of 4659,8986,84212 is 1

Step 1: Since 8986 > 4659, we apply the division lemma to 8986 and 4659, to get

8986 = 4659 x 1 + 4327

Step 2: Since the reminder 4659 ≠ 0, we apply division lemma to 4327 and 4659, to get

4659 = 4327 x 1 + 332

Step 3: We consider the new divisor 4327 and the new remainder 332, and apply the division lemma to get

4327 = 332 x 13 + 11

We consider the new divisor 332 and the new remainder 11,and apply the division lemma to get

332 = 11 x 30 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 4659 and 8986 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(332,11) = HCF(4327,332) = HCF(4659,4327) = HCF(8986,4659) .

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

Step 1: Since 84212 > 1, we apply the division lemma to 84212 and 1, to get

84212 = 1 x 84212 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 84212 is 1

Notice that 1 = HCF(84212,1) .

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Frequently Asked Questions on HCF of 4659, 8986, 84212 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 4659, 8986, 84212?

Answer: HCF of 4659, 8986, 84212 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4659, 8986, 84212 using Euclid's Algorithm?

Answer: For arbitrary numbers 4659, 8986, 84212 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.