Highest Common Factor of 8806, 4234, 53507 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 8806, 4234, 53507 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8806, 4234, 53507 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 8806, 4234, 53507 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 8806, 4234, 53507 is 1.

HCF(8806, 4234, 53507) = 1

HCF of 8806, 4234, 53507 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 8806, 4234, 53507 is 1.

Highest Common Factor of 8806,4234,53507 using Euclid's algorithm

Highest Common Factor of 8806,4234,53507 is 1

Step 1: Since 8806 > 4234, we apply the division lemma to 8806 and 4234, to get

8806 = 4234 x 2 + 338

Step 2: Since the reminder 4234 ≠ 0, we apply division lemma to 338 and 4234, to get

4234 = 338 x 12 + 178

Step 3: We consider the new divisor 338 and the new remainder 178, and apply the division lemma to get

338 = 178 x 1 + 160

We consider the new divisor 178 and the new remainder 160,and apply the division lemma to get

178 = 160 x 1 + 18

We consider the new divisor 160 and the new remainder 18,and apply the division lemma to get

160 = 18 x 8 + 16

We consider the new divisor 18 and the new remainder 16,and apply the division lemma to get

18 = 16 x 1 + 2

We consider the new divisor 16 and the new remainder 2,and apply the division lemma to get

16 = 2 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8806 and 4234 is 2

Notice that 2 = HCF(16,2) = HCF(18,16) = HCF(160,18) = HCF(178,160) = HCF(338,178) = HCF(4234,338) = HCF(8806,4234) .

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

Step 1: Since 53507 > 2, we apply the division lemma to 53507 and 2, to get

53507 = 2 x 26753 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 53507 is 1

Notice that 1 = HCF(2,1) = HCF(53507,2) .

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Frequently Asked Questions on HCF of 8806, 4234, 53507 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 8806, 4234, 53507?

Answer: HCF of 8806, 4234, 53507 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8806, 4234, 53507 using Euclid's Algorithm?

Answer: For arbitrary numbers 8806, 4234, 53507 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.