Highest Common Factor of 482, 765, 713, 636 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 482, 765, 713, 636 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 482, 765, 713, 636 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 482, 765, 713, 636 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 482, 765, 713, 636 is 1.

HCF(482, 765, 713, 636) = 1

HCF of 482, 765, 713, 636 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 482, 765, 713, 636 is 1.

Highest Common Factor of 482,765,713,636 using Euclid's algorithm

Highest Common Factor of 482,765,713,636 is 1

Step 1: Since 765 > 482, we apply the division lemma to 765 and 482, to get

765 = 482 x 1 + 283

Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 283 and 482, to get

482 = 283 x 1 + 199

Step 3: We consider the new divisor 283 and the new remainder 199, and apply the division lemma to get

283 = 199 x 1 + 84

We consider the new divisor 199 and the new remainder 84,and apply the division lemma to get

199 = 84 x 2 + 31

We consider the new divisor 84 and the new remainder 31,and apply the division lemma to get

84 = 31 x 2 + 22

We consider the new divisor 31 and the new remainder 22,and apply the division lemma to get

31 = 22 x 1 + 9

We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get

22 = 9 x 2 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 482 and 765 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(31,22) = HCF(84,31) = HCF(199,84) = HCF(283,199) = HCF(482,283) = HCF(765,482) .

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

Step 1: Since 713 > 1, we apply the division lemma to 713 and 1, to get

713 = 1 x 713 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 713 is 1

Notice that 1 = HCF(713,1) .

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

Step 1: Since 636 > 1, we apply the division lemma to 636 and 1, to get

636 = 1 x 636 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 636 is 1

Notice that 1 = HCF(636,1) .

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Frequently Asked Questions on HCF of 482, 765, 713, 636 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 482, 765, 713, 636?

Answer: HCF of 482, 765, 713, 636 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 482, 765, 713, 636 using Euclid's Algorithm?

Answer: For arbitrary numbers 482, 765, 713, 636 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.