Highest Common Factor of 8722, 8335, 63323 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 8722, 8335, 63323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8722, 8335, 63323 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 8722, 8335, 63323 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 8722, 8335, 63323 is 1.

HCF(8722, 8335, 63323) = 1

HCF of 8722, 8335, 63323 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 8722, 8335, 63323 is 1.

Highest Common Factor of 8722,8335,63323 using Euclid's algorithm

Highest Common Factor of 8722,8335,63323 is 1

Step 1: Since 8722 > 8335, we apply the division lemma to 8722 and 8335, to get

8722 = 8335 x 1 + 387

Step 2: Since the reminder 8335 ≠ 0, we apply division lemma to 387 and 8335, to get

8335 = 387 x 21 + 208

Step 3: We consider the new divisor 387 and the new remainder 208, and apply the division lemma to get

387 = 208 x 1 + 179

We consider the new divisor 208 and the new remainder 179,and apply the division lemma to get

208 = 179 x 1 + 29

We consider the new divisor 179 and the new remainder 29,and apply the division lemma to get

179 = 29 x 6 + 5

We consider the new divisor 29 and the new remainder 5,and apply the division lemma to get

29 = 5 x 5 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8722 and 8335 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(29,5) = HCF(179,29) = HCF(208,179) = HCF(387,208) = HCF(8335,387) = HCF(8722,8335) .

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

Step 1: Since 63323 > 1, we apply the division lemma to 63323 and 1, to get

63323 = 1 x 63323 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63323 is 1

Notice that 1 = HCF(63323,1) .

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Frequently Asked Questions on HCF of 8722, 8335, 63323 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 8722, 8335, 63323?

Answer: HCF of 8722, 8335, 63323 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8722, 8335, 63323 using Euclid's Algorithm?

Answer: For arbitrary numbers 8722, 8335, 63323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.