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Highest Common Factor of 498, 827, 382 using Euclid's algorithm

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 498, 827, 382 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 498, 827, 382 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 498, 827, 382 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 498, 827, 382 is 1.

HCF(498, 827, 382) = 1

HCF of 498, 827, 382 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 498, 827, 382 is 1.

Highest Common Factor of 498,827,382 using Euclid's algorithm

Step 1: Since 827 > 498, we apply the division lemma to 827 and 498, to get

827 = 498 x 1 + 329

Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 329 and 498, to get

498 = 329 x 1 + 169

Step 3: We consider the new divisor 329 and the new remainder 169, and apply the division lemma to get

329 = 169 x 1 + 160

We consider the new divisor 169 and the new remainder 160,and apply the division lemma to get

169 = 160 x 1 + 9

We consider the new divisor 160 and the new remainder 9,and apply the division lemma to get

160 = 9 x 17 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 498 and 827 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(160,9) = HCF(169,160) = HCF(329,169) = HCF(498,329) = HCF(827,498) .


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

Step 1: Since 382 > 1, we apply the division lemma to 382 and 1, to get

382 = 1 x 382 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 382 is 1

Notice that 1 = HCF(382,1) .

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Frequently Asked Questions on HCF of 498, 827, 382 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 498, 827, 382?

Answer: HCF of 498, 827, 382 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 498, 827, 382 using Euclid's Algorithm?

Answer: For arbitrary numbers 498, 827, 382 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.