Highest Common Factor of 8694, 8995, 72348 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 8694, 8995, 72348 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8694, 8995, 72348 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 8694, 8995, 72348 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 8694, 8995, 72348 is 1.

HCF(8694, 8995, 72348) = 1

HCF of 8694, 8995, 72348 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 8694, 8995, 72348 is 1.

Highest Common Factor of 8694,8995,72348 using Euclid's algorithm

Highest Common Factor of 8694,8995,72348 is 1

Step 1: Since 8995 > 8694, we apply the division lemma to 8995 and 8694, to get

8995 = 8694 x 1 + 301

Step 2: Since the reminder 8694 ≠ 0, we apply division lemma to 301 and 8694, to get

8694 = 301 x 28 + 266

Step 3: We consider the new divisor 301 and the new remainder 266, and apply the division lemma to get

301 = 266 x 1 + 35

We consider the new divisor 266 and the new remainder 35,and apply the division lemma to get

266 = 35 x 7 + 21

We consider the new divisor 35 and the new remainder 21,and apply the division lemma to get

35 = 21 x 1 + 14

We consider the new divisor 21 and the new remainder 14,and apply the division lemma to get

21 = 14 x 1 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 8694 and 8995 is 7

Notice that 7 = HCF(14,7) = HCF(21,14) = HCF(35,21) = HCF(266,35) = HCF(301,266) = HCF(8694,301) = HCF(8995,8694) .

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

Step 1: Since 72348 > 7, we apply the division lemma to 72348 and 7, to get

72348 = 7 x 10335 + 3

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 3 and 7, to get

7 = 3 x 2 + 1

Step 3: 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 7 and 72348 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(72348,7) .

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Frequently Asked Questions on HCF of 8694, 8995, 72348 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 8694, 8995, 72348?

Answer: HCF of 8694, 8995, 72348 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8694, 8995, 72348 using Euclid's Algorithm?

Answer: For arbitrary numbers 8694, 8995, 72348 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.