Highest Common Factor of 9684, 6041 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 9684, 6041 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9684, 6041 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 9684, 6041 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 9684, 6041 is 1.

HCF(9684, 6041) = 1

HCF of 9684, 6041 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 9684, 6041 is 1.

Highest Common Factor of 9684,6041 using Euclid's algorithm

Highest Common Factor of 9684,6041 is 1

Step 1: Since 9684 > 6041, we apply the division lemma to 9684 and 6041, to get

9684 = 6041 x 1 + 3643

Step 2: Since the reminder 6041 ≠ 0, we apply division lemma to 3643 and 6041, to get

6041 = 3643 x 1 + 2398

Step 3: We consider the new divisor 3643 and the new remainder 2398, and apply the division lemma to get

3643 = 2398 x 1 + 1245

We consider the new divisor 2398 and the new remainder 1245,and apply the division lemma to get

2398 = 1245 x 1 + 1153

We consider the new divisor 1245 and the new remainder 1153,and apply the division lemma to get

1245 = 1153 x 1 + 92

We consider the new divisor 1153 and the new remainder 92,and apply the division lemma to get

1153 = 92 x 12 + 49

We consider the new divisor 92 and the new remainder 49,and apply the division lemma to get

92 = 49 x 1 + 43

We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get

49 = 43 x 1 + 6

We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get

43 = 6 x 7 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9684 and 6041 is 1

Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(92,49) = HCF(1153,92) = HCF(1245,1153) = HCF(2398,1245) = HCF(3643,2398) = HCF(6041,3643) = HCF(9684,6041) .

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Frequently Asked Questions on HCF of 9684, 6041 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 9684, 6041?

Answer: HCF of 9684, 6041 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9684, 6041 using Euclid's Algorithm?

Answer: For arbitrary numbers 9684, 6041 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.