Highest Common Factor of 352, 428, 843 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, 428, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 352, 428, 843 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, 428, 843 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, 428, 843 is 1.

HCF(352, 428, 843) = 1

HCF of 352, 428, 843 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, 428, 843 is 1.

Highest Common Factor of 352,428,843 using Euclid's algorithm

Highest Common Factor of 352,428,843 is 1

Step 1: Since 428 > 352, we apply the division lemma to 428 and 352, to get

428 = 352 x 1 + 76

Step 2: Since the reminder 352 ≠ 0, we apply division lemma to 76 and 352, to get

352 = 76 x 4 + 48

Step 3: We consider the new divisor 76 and the new remainder 48, and apply the division lemma to get

76 = 48 x 1 + 28

We consider the new divisor 48 and the new remainder 28,and apply the division lemma to get

48 = 28 x 1 + 20

We consider the new divisor 28 and the new remainder 20,and apply the division lemma to get

28 = 20 x 1 + 8

We consider the new divisor 20 and the new remainder 8,and apply the division lemma to get

20 = 8 x 2 + 4

We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get

8 = 4 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 352 and 428 is 4

Notice that 4 = HCF(8,4) = HCF(20,8) = HCF(28,20) = HCF(48,28) = HCF(76,48) = HCF(352,76) = HCF(428,352) .

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

Step 1: Since 843 > 4, we apply the division lemma to 843 and 4, to get

843 = 4 x 210 + 3

Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 3 and 4, to get

4 = 3 x 1 + 1

Step 3: We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 843 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(843,4) .

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Frequently Asked Questions on HCF of 352, 428, 843 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, 428, 843?

Answer: HCF of 352, 428, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 352, 428, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 352, 428, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.