Highest Common Factor of 352, 160, 585 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, 160, 585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 352, 160, 585 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, 160, 585 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, 160, 585 is 1.

HCF(352, 160, 585) = 1

HCF of 352, 160, 585 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, 160, 585 is 1.

Highest Common Factor of 352,160,585 using Euclid's algorithm

Highest Common Factor of 352,160,585 is 1

Step 1: Since 352 > 160, we apply the division lemma to 352 and 160, to get

352 = 160 x 2 + 32

Step 2: Since the reminder 160 ≠ 0, we apply division lemma to 32 and 160, to get

160 = 32 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 32, the HCF of 352 and 160 is 32

Notice that 32 = HCF(160,32) = HCF(352,160) .

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

Step 1: Since 585 > 32, we apply the division lemma to 585 and 32, to get

585 = 32 x 18 + 9

Step 2: Since the reminder 32 ≠ 0, we apply division lemma to 9 and 32, to get

32 = 9 x 3 + 5

Step 3: We consider the new divisor 9 and the new remainder 5, and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 32 and 585 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(32,9) = HCF(585,32) .

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Frequently Asked Questions on HCF of 352, 160, 585 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, 160, 585?

Answer: HCF of 352, 160, 585 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 352, 160, 585 using Euclid's Algorithm?

Answer: For arbitrary numbers 352, 160, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.