Highest Common Factor of 332, 190, 833 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, 190, 833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 332, 190, 833 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, 190, 833 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, 190, 833 is 1.

HCF(332, 190, 833) = 1

HCF of 332, 190, 833 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, 190, 833 is 1.

Highest Common Factor of 332,190,833 using Euclid's algorithm

Highest Common Factor of 332,190,833 is 1

Step 1: Since 332 > 190, we apply the division lemma to 332 and 190, to get

332 = 190 x 1 + 142

Step 2: Since the reminder 190 ≠ 0, we apply division lemma to 142 and 190, to get

190 = 142 x 1 + 48

Step 3: We consider the new divisor 142 and the new remainder 48, and apply the division lemma to get

142 = 48 x 2 + 46

We consider the new divisor 48 and the new remainder 46,and apply the division lemma to get

48 = 46 x 1 + 2

We consider the new divisor 46 and the new remainder 2,and apply the division lemma to get

46 = 2 x 23 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 332 and 190 is 2

Notice that 2 = HCF(46,2) = HCF(48,46) = HCF(142,48) = HCF(190,142) = HCF(332,190) .

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

Step 1: Since 833 > 2, we apply the division lemma to 833 and 2, to get

833 = 2 x 416 + 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 833 is 1

Notice that 1 = HCF(2,1) = HCF(833,2) .

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Frequently Asked Questions on HCF of 332, 190, 833 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, 190, 833?

Answer: HCF of 332, 190, 833 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 332, 190, 833 using Euclid's Algorithm?

Answer: For arbitrary numbers 332, 190, 833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.