Highest Common Factor of 861, 698, 773 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 861, 698, 773 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 861, 698, 773 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 861, 698, 773 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 861, 698, 773 is 1.

HCF(861, 698, 773) = 1

HCF of 861, 698, 773 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 861, 698, 773 is 1.

Highest Common Factor of 861,698,773 using Euclid's algorithm

Highest Common Factor of 861,698,773 is 1

Step 1: Since 861 > 698, we apply the division lemma to 861 and 698, to get

861 = 698 x 1 + 163

Step 2: Since the reminder 698 ≠ 0, we apply division lemma to 163 and 698, to get

698 = 163 x 4 + 46

Step 3: We consider the new divisor 163 and the new remainder 46, and apply the division lemma to get

163 = 46 x 3 + 25

We consider the new divisor 46 and the new remainder 25,and apply the division lemma to get

46 = 25 x 1 + 21

We consider the new divisor 25 and the new remainder 21,and apply the division lemma to get

25 = 21 x 1 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 861 and 698 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(163,46) = HCF(698,163) = HCF(861,698) .

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

Step 1: Since 773 > 1, we apply the division lemma to 773 and 1, to get

773 = 1 x 773 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 773 is 1

Notice that 1 = HCF(773,1) .

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Frequently Asked Questions on HCF of 861, 698, 773 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 861, 698, 773?

Answer: HCF of 861, 698, 773 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 861, 698, 773 using Euclid's Algorithm?

Answer: For arbitrary numbers 861, 698, 773 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.