Highest Common Factor of 9841, 3641, 69510 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 9841, 3641, 69510 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9841, 3641, 69510 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 9841, 3641, 69510 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 9841, 3641, 69510 is 1.

HCF(9841, 3641, 69510) = 1

HCF of 9841, 3641, 69510 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 9841, 3641, 69510 is 1.

Highest Common Factor of 9841,3641,69510 using Euclid's algorithm

Highest Common Factor of 9841,3641,69510 is 1

Step 1: Since 9841 > 3641, we apply the division lemma to 9841 and 3641, to get

9841 = 3641 x 2 + 2559

Step 2: Since the reminder 3641 ≠ 0, we apply division lemma to 2559 and 3641, to get

3641 = 2559 x 1 + 1082

Step 3: We consider the new divisor 2559 and the new remainder 1082, and apply the division lemma to get

2559 = 1082 x 2 + 395

We consider the new divisor 1082 and the new remainder 395,and apply the division lemma to get

1082 = 395 x 2 + 292

We consider the new divisor 395 and the new remainder 292,and apply the division lemma to get

395 = 292 x 1 + 103

We consider the new divisor 292 and the new remainder 103,and apply the division lemma to get

292 = 103 x 2 + 86

We consider the new divisor 103 and the new remainder 86,and apply the division lemma to get

103 = 86 x 1 + 17

We consider the new divisor 86 and the new remainder 17,and apply the division lemma to get

86 = 17 x 5 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9841 and 3641 is 1

Notice that 1 = HCF(17,1) = HCF(86,17) = HCF(103,86) = HCF(292,103) = HCF(395,292) = HCF(1082,395) = HCF(2559,1082) = HCF(3641,2559) = HCF(9841,3641) .

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

Step 1: Since 69510 > 1, we apply the division lemma to 69510 and 1, to get

69510 = 1 x 69510 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69510 is 1

Notice that 1 = HCF(69510,1) .

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Frequently Asked Questions on HCF of 9841, 3641, 69510 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 9841, 3641, 69510?

Answer: HCF of 9841, 3641, 69510 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9841, 3641, 69510 using Euclid's Algorithm?

Answer: For arbitrary numbers 9841, 3641, 69510 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.