Highest Common Factor of 882, 534, 83 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 882, 534, 83 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 882, 534, 83 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 882, 534, 83 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 882, 534, 83 is 1.

HCF(882, 534, 83) = 1

HCF of 882, 534, 83 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 882, 534, 83 is 1.

Highest Common Factor of 882,534,83 using Euclid's algorithm

Highest Common Factor of 882,534,83 is 1

Step 1: Since 882 > 534, we apply the division lemma to 882 and 534, to get

882 = 534 x 1 + 348

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 348 and 534, to get

534 = 348 x 1 + 186

Step 3: We consider the new divisor 348 and the new remainder 186, and apply the division lemma to get

348 = 186 x 1 + 162

We consider the new divisor 186 and the new remainder 162,and apply the division lemma to get

186 = 162 x 1 + 24

We consider the new divisor 162 and the new remainder 24,and apply the division lemma to get

162 = 24 x 6 + 18

We consider the new divisor 24 and the new remainder 18,and apply the division lemma to get

24 = 18 x 1 + 6

We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get

18 = 6 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 882 and 534 is 6

Notice that 6 = HCF(18,6) = HCF(24,18) = HCF(162,24) = HCF(186,162) = HCF(348,186) = HCF(534,348) = HCF(882,534) .

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

Step 1: Since 83 > 6, we apply the division lemma to 83 and 6, to get

83 = 6 x 13 + 5

Step 2: Since the reminder 6 ≠ 0, we apply division lemma to 5 and 6, to get

6 = 5 x 1 + 1

Step 3: We consider the new divisor 5 and the new remainder 1, and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6 and 83 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(83,6) .

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Frequently Asked Questions on HCF of 882, 534, 83 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 882, 534, 83?

Answer: HCF of 882, 534, 83 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 882, 534, 83 using Euclid's Algorithm?

Answer: For arbitrary numbers 882, 534, 83 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.