Highest Common Factor of 3361, 7565, 66161 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 3361, 7565, 66161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3361, 7565, 66161 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 3361, 7565, 66161 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 3361, 7565, 66161 is 1.

HCF(3361, 7565, 66161) = 1

HCF of 3361, 7565, 66161 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 3361, 7565, 66161 is 1.

Highest Common Factor of 3361,7565,66161 using Euclid's algorithm

Highest Common Factor of 3361,7565,66161 is 1

Step 1: Since 7565 > 3361, we apply the division lemma to 7565 and 3361, to get

7565 = 3361 x 2 + 843

Step 2: Since the reminder 3361 ≠ 0, we apply division lemma to 843 and 3361, to get

3361 = 843 x 3 + 832

Step 3: We consider the new divisor 843 and the new remainder 832, and apply the division lemma to get

843 = 832 x 1 + 11

We consider the new divisor 832 and the new remainder 11,and apply the division lemma to get

832 = 11 x 75 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 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 3361 and 7565 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(832,11) = HCF(843,832) = HCF(3361,843) = HCF(7565,3361) .

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

Step 1: Since 66161 > 1, we apply the division lemma to 66161 and 1, to get

66161 = 1 x 66161 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 66161 is 1

Notice that 1 = HCF(66161,1) .

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Frequently Asked Questions on HCF of 3361, 7565, 66161 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 3361, 7565, 66161?

Answer: HCF of 3361, 7565, 66161 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3361, 7565, 66161 using Euclid's Algorithm?

Answer: For arbitrary numbers 3361, 7565, 66161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.