Highest Common Factor of 901, 8843 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 901, 8843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 901, 8843 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 901, 8843 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 901, 8843 is 1.

HCF(901, 8843) = 1

HCF of 901, 8843 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 901, 8843 is 1.

Highest Common Factor of 901,8843 using Euclid's algorithm

Highest Common Factor of 901,8843 is 1

Step 1: Since 8843 > 901, we apply the division lemma to 8843 and 901, to get

8843 = 901 x 9 + 734

Step 2: Since the reminder 901 ≠ 0, we apply division lemma to 734 and 901, to get

901 = 734 x 1 + 167

Step 3: We consider the new divisor 734 and the new remainder 167, and apply the division lemma to get

734 = 167 x 4 + 66

We consider the new divisor 167 and the new remainder 66,and apply the division lemma to get

167 = 66 x 2 + 35

We consider the new divisor 66 and the new remainder 35,and apply the division lemma to get

66 = 35 x 1 + 31

We consider the new divisor 35 and the new remainder 31,and apply the division lemma to get

35 = 31 x 1 + 4

We consider the new divisor 31 and the new remainder 4,and apply the division lemma to get

31 = 4 x 7 + 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 901 and 8843 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(31,4) = HCF(35,31) = HCF(66,35) = HCF(167,66) = HCF(734,167) = HCF(901,734) = HCF(8843,901) .

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Frequently Asked Questions on HCF of 901, 8843 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 901, 8843?

Answer: HCF of 901, 8843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 901, 8843 using Euclid's Algorithm?

Answer: For arbitrary numbers 901, 8843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.