Highest Common Factor of 863, 319 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 863, 319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 863, 319 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 863, 319 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 863, 319 is 1.

HCF(863, 319) = 1

HCF of 863, 319 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 863, 319 is 1.

Highest Common Factor of 863,319 using Euclid's algorithm

Highest Common Factor of 863,319 is 1

Step 1: Since 863 > 319, we apply the division lemma to 863 and 319, to get

863 = 319 x 2 + 225

Step 2: Since the reminder 319 ≠ 0, we apply division lemma to 225 and 319, to get

319 = 225 x 1 + 94

Step 3: We consider the new divisor 225 and the new remainder 94, and apply the division lemma to get

225 = 94 x 2 + 37

We consider the new divisor 94 and the new remainder 37,and apply the division lemma to get

94 = 37 x 2 + 20

We consider the new divisor 37 and the new remainder 20,and apply the division lemma to get

37 = 20 x 1 + 17

We consider the new divisor 20 and the new remainder 17,and apply the division lemma to get

20 = 17 x 1 + 3

We consider the new divisor 17 and the new remainder 3,and apply the division lemma to get

17 = 3 x 5 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 863 and 319 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(17,3) = HCF(20,17) = HCF(37,20) = HCF(94,37) = HCF(225,94) = HCF(319,225) = HCF(863,319) .

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Frequently Asked Questions on HCF of 863, 319 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 863, 319?

Answer: HCF of 863, 319 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 863, 319 using Euclid's Algorithm?

Answer: For arbitrary numbers 863, 319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.