Highest Common Factor of 9861, 4241, 35349 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 9861, 4241, 35349 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9861, 4241, 35349 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 9861, 4241, 35349 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 9861, 4241, 35349 is 1.

HCF(9861, 4241, 35349) = 1

HCF of 9861, 4241, 35349 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 9861, 4241, 35349 is 1.

Highest Common Factor of 9861,4241,35349 using Euclid's algorithm

Highest Common Factor of 9861,4241,35349 is 1

Step 1: Since 9861 > 4241, we apply the division lemma to 9861 and 4241, to get

9861 = 4241 x 2 + 1379

Step 2: Since the reminder 4241 ≠ 0, we apply division lemma to 1379 and 4241, to get

4241 = 1379 x 3 + 104

Step 3: We consider the new divisor 1379 and the new remainder 104, and apply the division lemma to get

1379 = 104 x 13 + 27

We consider the new divisor 104 and the new remainder 27,and apply the division lemma to get

104 = 27 x 3 + 23

We consider the new divisor 27 and the new remainder 23,and apply the division lemma to get

27 = 23 x 1 + 4

We consider the new divisor 23 and the new remainder 4,and apply the division lemma to get

23 = 4 x 5 + 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 9861 and 4241 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(23,4) = HCF(27,23) = HCF(104,27) = HCF(1379,104) = HCF(4241,1379) = HCF(9861,4241) .

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

Step 1: Since 35349 > 1, we apply the division lemma to 35349 and 1, to get

35349 = 1 x 35349 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 35349 is 1

Notice that 1 = HCF(35349,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9861, 4241, 35349 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 9861, 4241, 35349?

Answer: HCF of 9861, 4241, 35349 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9861, 4241, 35349 using Euclid's Algorithm?

Answer: For arbitrary numbers 9861, 4241, 35349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.