Highest Common Factor of 632, 233, 866, 33 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 632, 233, 866, 33 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 632, 233, 866, 33 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 632, 233, 866, 33 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 632, 233, 866, 33 is 1.

HCF(632, 233, 866, 33) = 1

HCF of 632, 233, 866, 33 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 632, 233, 866, 33 is 1.

Highest Common Factor of 632,233,866,33 using Euclid's algorithm

Highest Common Factor of 632,233,866,33 is 1

Step 1: Since 632 > 233, we apply the division lemma to 632 and 233, to get

632 = 233 x 2 + 166

Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 166 and 233, to get

233 = 166 x 1 + 67

Step 3: We consider the new divisor 166 and the new remainder 67, and apply the division lemma to get

166 = 67 x 2 + 32

We consider the new divisor 67 and the new remainder 32,and apply the division lemma to get

67 = 32 x 2 + 3

We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get

32 = 3 x 10 + 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 632 and 233 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(67,32) = HCF(166,67) = HCF(233,166) = HCF(632,233) .

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

Step 1: Since 866 > 1, we apply the division lemma to 866 and 1, to get

866 = 1 x 866 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 866 is 1

Notice that 1 = HCF(866,1) .

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

Step 1: Since 33 > 1, we apply the division lemma to 33 and 1, to get

33 = 1 x 33 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 33 is 1

Notice that 1 = HCF(33,1) .

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Frequently Asked Questions on HCF of 632, 233, 866, 33 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 632, 233, 866, 33?

Answer: HCF of 632, 233, 866, 33 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 632, 233, 866, 33 using Euclid's Algorithm?

Answer: For arbitrary numbers 632, 233, 866, 33 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.