Highest Common Factor of 605, 425, 368, 816 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 605, 425, 368, 816 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 605, 425, 368, 816 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 605, 425, 368, 816 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 605, 425, 368, 816 is 1.

HCF(605, 425, 368, 816) = 1

HCF of 605, 425, 368, 816 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 605, 425, 368, 816 is 1.

Highest Common Factor of 605,425,368,816 using Euclid's algorithm

Highest Common Factor of 605,425,368,816 is 1

Step 1: Since 605 > 425, we apply the division lemma to 605 and 425, to get

605 = 425 x 1 + 180

Step 2: Since the reminder 425 ≠ 0, we apply division lemma to 180 and 425, to get

425 = 180 x 2 + 65

Step 3: We consider the new divisor 180 and the new remainder 65, and apply the division lemma to get

180 = 65 x 2 + 50

We consider the new divisor 65 and the new remainder 50,and apply the division lemma to get

65 = 50 x 1 + 15

We consider the new divisor 50 and the new remainder 15,and apply the division lemma to get

50 = 15 x 3 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 605 and 425 is 5

Notice that 5 = HCF(15,5) = HCF(50,15) = HCF(65,50) = HCF(180,65) = HCF(425,180) = HCF(605,425) .

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

Step 1: Since 368 > 5, we apply the division lemma to 368 and 5, to get

368 = 5 x 73 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1, and apply the division lemma 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 5 and 368 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(368,5) .

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

Step 1: Since 816 > 1, we apply the division lemma to 816 and 1, to get

816 = 1 x 816 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 816 is 1

Notice that 1 = HCF(816,1) .

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Frequently Asked Questions on HCF of 605, 425, 368, 816 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 605, 425, 368, 816?

Answer: HCF of 605, 425, 368, 816 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 605, 425, 368, 816 using Euclid's Algorithm?

Answer: For arbitrary numbers 605, 425, 368, 816 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.