Highest Common Factor of 332, 830, 801 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 332, 830, 801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 332, 830, 801 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 332, 830, 801 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 332, 830, 801 is 1.

HCF(332, 830, 801) = 1

HCF of 332, 830, 801 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 332, 830, 801 is 1.

Highest Common Factor of 332,830,801 using Euclid's algorithm

Highest Common Factor of 332,830,801 is 1

Step 1: Since 830 > 332, we apply the division lemma to 830 and 332, to get

830 = 332 x 2 + 166

Step 2: Since the reminder 332 ≠ 0, we apply division lemma to 166 and 332, to get

332 = 166 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 166, the HCF of 332 and 830 is 166

Notice that 166 = HCF(332,166) = HCF(830,332) .

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

Step 1: Since 801 > 166, we apply the division lemma to 801 and 166, to get

801 = 166 x 4 + 137

Step 2: Since the reminder 166 ≠ 0, we apply division lemma to 137 and 166, to get

166 = 137 x 1 + 29

Step 3: We consider the new divisor 137 and the new remainder 29, and apply the division lemma to get

137 = 29 x 4 + 21

We consider the new divisor 29 and the new remainder 21,and apply the division lemma to get

29 = 21 x 1 + 8

We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get

21 = 8 x 2 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 166 and 801 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(29,21) = HCF(137,29) = HCF(166,137) = HCF(801,166) .

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Frequently Asked Questions on HCF of 332, 830, 801 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 332, 830, 801?

Answer: HCF of 332, 830, 801 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 332, 830, 801 using Euclid's Algorithm?

Answer: For arbitrary numbers 332, 830, 801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.