Highest Common Factor of 352, 658, 433 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 352, 658, 433 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 352, 658, 433 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 352, 658, 433 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 352, 658, 433 is 1.

HCF(352, 658, 433) = 1

HCF of 352, 658, 433 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 352, 658, 433 is 1.

Highest Common Factor of 352,658,433 using Euclid's algorithm

Highest Common Factor of 352,658,433 is 1

Step 1: Since 658 > 352, we apply the division lemma to 658 and 352, to get

658 = 352 x 1 + 306

Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 306 and 352, to get

352 = 306 x 1 + 46

Step 3: We consider the new divisor 306 and the new remainder 46, and apply the division lemma to get

306 = 46 x 6 + 30

We consider the new divisor 46 and the new remainder 30,and apply the division lemma to get

46 = 30 x 1 + 16

We consider the new divisor 30 and the new remainder 16,and apply the division lemma to get

30 = 16 x 1 + 14

We consider the new divisor 16 and the new remainder 14,and apply the division lemma to get

16 = 14 x 1 + 2

We consider the new divisor 14 and the new remainder 2,and apply the division lemma to get

14 = 2 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 352 and 658 is 2

Notice that 2 = HCF(14,2) = HCF(16,14) = HCF(30,16) = HCF(46,30) = HCF(306,46) = HCF(352,306) = HCF(658,352) .


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

Step 1: Since 433 > 2, we apply the division lemma to 433 and 2, to get

433 = 2 x 216 + 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 433 is 1

Notice that 1 = HCF(2,1) = HCF(433,2) .

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Frequently Asked Questions on HCF of 352, 658, 433 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 352, 658, 433?

Answer: HCF of 352, 658, 433 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 352, 658, 433 using Euclid's Algorithm?

Answer: For arbitrary numbers 352, 658, 433 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.