Highest Common Factor of 580, 802, 215 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 580, 802, 215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 580, 802, 215 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 580, 802, 215 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 580, 802, 215 is 1.

HCF(580, 802, 215) = 1

HCF of 580, 802, 215 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 580, 802, 215 is 1.

Highest Common Factor of 580,802,215 using Euclid's algorithm

Highest Common Factor of 580,802,215 is 1

Step 1: Since 802 > 580, we apply the division lemma to 802 and 580, to get

802 = 580 x 1 + 222

Step 2: Since the reminder 580 ≠ 0, we apply division lemma to 222 and 580, to get

580 = 222 x 2 + 136

Step 3: We consider the new divisor 222 and the new remainder 136, and apply the division lemma to get

222 = 136 x 1 + 86

We consider the new divisor 136 and the new remainder 86,and apply the division lemma to get

136 = 86 x 1 + 50

We consider the new divisor 86 and the new remainder 50,and apply the division lemma to get

86 = 50 x 1 + 36

We consider the new divisor 50 and the new remainder 36,and apply the division lemma to get

50 = 36 x 1 + 14

We consider the new divisor 36 and the new remainder 14,and apply the division lemma to get

36 = 14 x 2 + 8

We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get

14 = 8 x 1 + 6

We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get

8 = 6 x 1 + 2

We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get

6 = 2 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 580 and 802 is 2

Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(36,14) = HCF(50,36) = HCF(86,50) = HCF(136,86) = HCF(222,136) = HCF(580,222) = HCF(802,580) .

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

Step 1: Since 215 > 2, we apply the division lemma to 215 and 2, to get

215 = 2 x 107 + 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 215 is 1

Notice that 1 = HCF(2,1) = HCF(215,2) .

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Frequently Asked Questions on HCF of 580, 802, 215 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 580, 802, 215?

Answer: HCF of 580, 802, 215 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 580, 802, 215 using Euclid's Algorithm?

Answer: For arbitrary numbers 580, 802, 215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.