Highest Common Factor of 594, 815, 160, 470 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 594, 815, 160, 470 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 594, 815, 160, 470 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 594, 815, 160, 470 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 594, 815, 160, 470 is 1.

HCF(594, 815, 160, 470) = 1

HCF of 594, 815, 160, 470 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 594, 815, 160, 470 is 1.

Highest Common Factor of 594,815,160,470 using Euclid's algorithm

Highest Common Factor of 594,815,160,470 is 1

Step 1: Since 815 > 594, we apply the division lemma to 815 and 594, to get

815 = 594 x 1 + 221

Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 221 and 594, to get

594 = 221 x 2 + 152

Step 3: We consider the new divisor 221 and the new remainder 152, and apply the division lemma to get

221 = 152 x 1 + 69

We consider the new divisor 152 and the new remainder 69,and apply the division lemma to get

152 = 69 x 2 + 14

We consider the new divisor 69 and the new remainder 14,and apply the division lemma to get

69 = 14 x 4 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 594 and 815 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(69,14) = HCF(152,69) = HCF(221,152) = HCF(594,221) = HCF(815,594) .

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

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

160 = 1 x 160 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 160 is 1

Notice that 1 = HCF(160,1) .

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

Step 1: Since 470 > 1, we apply the division lemma to 470 and 1, to get

470 = 1 x 470 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 470 is 1

Notice that 1 = HCF(470,1) .

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Frequently Asked Questions on HCF of 594, 815, 160, 470 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 594, 815, 160, 470?

Answer: HCF of 594, 815, 160, 470 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 594, 815, 160, 470 using Euclid's Algorithm?

Answer: For arbitrary numbers 594, 815, 160, 470 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.