Highest Common Factor of 9945, 8441 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 9945, 8441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9945, 8441 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 9945, 8441 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 9945, 8441 is 1.

HCF(9945, 8441) = 1

HCF of 9945, 8441 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 9945, 8441 is 1.

Highest Common Factor of 9945,8441 using Euclid's algorithm

Highest Common Factor of 9945,8441 is 1

Step 1: Since 9945 > 8441, we apply the division lemma to 9945 and 8441, to get

9945 = 8441 x 1 + 1504

Step 2: Since the reminder 8441 ≠ 0, we apply division lemma to 1504 and 8441, to get

8441 = 1504 x 5 + 921

Step 3: We consider the new divisor 1504 and the new remainder 921, and apply the division lemma to get

1504 = 921 x 1 + 583

We consider the new divisor 921 and the new remainder 583,and apply the division lemma to get

921 = 583 x 1 + 338

We consider the new divisor 583 and the new remainder 338,and apply the division lemma to get

583 = 338 x 1 + 245

We consider the new divisor 338 and the new remainder 245,and apply the division lemma to get

338 = 245 x 1 + 93

We consider the new divisor 245 and the new remainder 93,and apply the division lemma to get

245 = 93 x 2 + 59

We consider the new divisor 93 and the new remainder 59,and apply the division lemma to get

93 = 59 x 1 + 34

We consider the new divisor 59 and the new remainder 34,and apply the division lemma to get

59 = 34 x 1 + 25

We consider the new divisor 34 and the new remainder 25,and apply the division lemma to get

34 = 25 x 1 + 9

We consider the new divisor 25 and the new remainder 9,and apply the division lemma to get

25 = 9 x 2 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 9945 and 8441 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(25,9) = HCF(34,25) = HCF(59,34) = HCF(93,59) = HCF(245,93) = HCF(338,245) = HCF(583,338) = HCF(921,583) = HCF(1504,921) = HCF(8441,1504) = HCF(9945,8441) .

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Frequently Asked Questions on HCF of 9945, 8441 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 9945, 8441?

Answer: HCF of 9945, 8441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9945, 8441 using Euclid's Algorithm?

Answer: For arbitrary numbers 9945, 8441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.