Highest Common Factor of 889, 99143 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 889, 99143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 889, 99143 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 889, 99143 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 889, 99143 is 1.

HCF(889, 99143) = 1

HCF of 889, 99143 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 889, 99143 is 1.

Highest Common Factor of 889,99143 using Euclid's algorithm

Highest Common Factor of 889,99143 is 1

Step 1: Since 99143 > 889, we apply the division lemma to 99143 and 889, to get

99143 = 889 x 111 + 464

Step 2: Since the reminder 889 ≠ 0, we apply division lemma to 464 and 889, to get

889 = 464 x 1 + 425

Step 3: We consider the new divisor 464 and the new remainder 425, and apply the division lemma to get

464 = 425 x 1 + 39

We consider the new divisor 425 and the new remainder 39,and apply the division lemma to get

425 = 39 x 10 + 35

We consider the new divisor 39 and the new remainder 35,and apply the division lemma to get

39 = 35 x 1 + 4

We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get

35 = 4 x 8 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

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 889 and 99143 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(39,35) = HCF(425,39) = HCF(464,425) = HCF(889,464) = HCF(99143,889) .

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Frequently Asked Questions on HCF of 889, 99143 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 889, 99143?

Answer: HCF of 889, 99143 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 889, 99143 using Euclid's Algorithm?

Answer: For arbitrary numbers 889, 99143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.