Highest Common Factor of 821, 534, 794 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 821, 534, 794 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 821, 534, 794 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 821, 534, 794 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 821, 534, 794 is 1.

HCF(821, 534, 794) = 1

HCF of 821, 534, 794 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 821, 534, 794 is 1.

Highest Common Factor of 821,534,794 using Euclid's algorithm

Highest Common Factor of 821,534,794 is 1

Step 1: Since 821 > 534, we apply the division lemma to 821 and 534, to get

821 = 534 x 1 + 287

Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 287 and 534, to get

534 = 287 x 1 + 247

Step 3: We consider the new divisor 287 and the new remainder 247, and apply the division lemma to get

287 = 247 x 1 + 40

We consider the new divisor 247 and the new remainder 40,and apply the division lemma to get

247 = 40 x 6 + 7

We consider the new divisor 40 and the new remainder 7,and apply the division lemma to get

40 = 7 x 5 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 821 and 534 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(40,7) = HCF(247,40) = HCF(287,247) = HCF(534,287) = HCF(821,534) .

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

Step 1: Since 794 > 1, we apply the division lemma to 794 and 1, to get

794 = 1 x 794 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 794 is 1

Notice that 1 = HCF(794,1) .

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Frequently Asked Questions on HCF of 821, 534, 794 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 821, 534, 794?

Answer: HCF of 821, 534, 794 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 821, 534, 794 using Euclid's Algorithm?

Answer: For arbitrary numbers 821, 534, 794 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.