Highest Common Factor of 595, 983, 616 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 595, 983, 616 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 595, 983, 616 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 595, 983, 616 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 595, 983, 616 is 1.

HCF(595, 983, 616) = 1

HCF of 595, 983, 616 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 595, 983, 616 is 1.

Highest Common Factor of 595,983,616 using Euclid's algorithm

Highest Common Factor of 595,983,616 is 1

Step 1: Since 983 > 595, we apply the division lemma to 983 and 595, to get

983 = 595 x 1 + 388

Step 2: Since the reminder 595 ≠ 0, we apply division lemma to 388 and 595, to get

595 = 388 x 1 + 207

Step 3: We consider the new divisor 388 and the new remainder 207, and apply the division lemma to get

388 = 207 x 1 + 181

We consider the new divisor 207 and the new remainder 181,and apply the division lemma to get

207 = 181 x 1 + 26

We consider the new divisor 181 and the new remainder 26,and apply the division lemma to get

181 = 26 x 6 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 595 and 983 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(181,26) = HCF(207,181) = HCF(388,207) = HCF(595,388) = HCF(983,595) .

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

Step 1: Since 616 > 1, we apply the division lemma to 616 and 1, to get

616 = 1 x 616 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 616 is 1

Notice that 1 = HCF(616,1) .

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Frequently Asked Questions on HCF of 595, 983, 616 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 595, 983, 616?

Answer: HCF of 595, 983, 616 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 595, 983, 616 using Euclid's Algorithm?

Answer: For arbitrary numbers 595, 983, 616 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.