Highest Common Factor of 719, 464 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 719, 464 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 719, 464 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 719, 464 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 719, 464 is 1.

HCF(719, 464) = 1

HCF of 719, 464 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 719, 464 is 1.

Highest Common Factor of 719,464 using Euclid's algorithm

Highest Common Factor of 719,464 is 1

Step 1: Since 719 > 464, we apply the division lemma to 719 and 464, to get

719 = 464 x 1 + 255

Step 2: Since the reminder 464 ≠ 0, we apply division lemma to 255 and 464, to get

464 = 255 x 1 + 209

Step 3: We consider the new divisor 255 and the new remainder 209, and apply the division lemma to get

255 = 209 x 1 + 46

We consider the new divisor 209 and the new remainder 46,and apply the division lemma to get

209 = 46 x 4 + 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 719 and 464 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(25,21) = HCF(46,25) = HCF(209,46) = HCF(255,209) = HCF(464,255) = HCF(719,464) .

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Frequently Asked Questions on HCF of 719, 464 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 719, 464?

Answer: HCF of 719, 464 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 719, 464 using Euclid's Algorithm?

Answer: For arbitrary numbers 719, 464 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.