Highest Common Factor of 832, 3766, 8081 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 832, 3766, 8081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 832, 3766, 8081 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 832, 3766, 8081 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 832, 3766, 8081 is 1.

HCF(832, 3766, 8081) = 1

HCF of 832, 3766, 8081 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 832, 3766, 8081 is 1.

Highest Common Factor of 832,3766,8081 using Euclid's algorithm

Highest Common Factor of 832,3766,8081 is 1

Step 1: Since 3766 > 832, we apply the division lemma to 3766 and 832, to get

3766 = 832 x 4 + 438

Step 2: Since the reminder 832 ≠ 0, we apply division lemma to 438 and 832, to get

832 = 438 x 1 + 394

Step 3: We consider the new divisor 438 and the new remainder 394, and apply the division lemma to get

438 = 394 x 1 + 44

We consider the new divisor 394 and the new remainder 44,and apply the division lemma to get

394 = 44 x 8 + 42

We consider the new divisor 44 and the new remainder 42,and apply the division lemma to get

44 = 42 x 1 + 2

We consider the new divisor 42 and the new remainder 2,and apply the division lemma to get

42 = 2 x 21 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 832 and 3766 is 2

Notice that 2 = HCF(42,2) = HCF(44,42) = HCF(394,44) = HCF(438,394) = HCF(832,438) = HCF(3766,832) .

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

Step 1: Since 8081 > 2, we apply the division lemma to 8081 and 2, to get

8081 = 2 x 4040 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 8081 is 1

Notice that 1 = HCF(2,1) = HCF(8081,2) .

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Frequently Asked Questions on HCF of 832, 3766, 8081 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 832, 3766, 8081?

Answer: HCF of 832, 3766, 8081 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 832, 3766, 8081 using Euclid's Algorithm?

Answer: For arbitrary numbers 832, 3766, 8081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.