Highest Common Factor of 722, 997, 63 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 722, 997, 63 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 722, 997, 63 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 722, 997, 63 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 722, 997, 63 is 1.

HCF(722, 997, 63) = 1

HCF of 722, 997, 63 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 722, 997, 63 is 1.

Highest Common Factor of 722,997,63 using Euclid's algorithm

Highest Common Factor of 722,997,63 is 1

Step 1: Since 997 > 722, we apply the division lemma to 997 and 722, to get

997 = 722 x 1 + 275

Step 2: Since the reminder 722 ≠ 0, we apply division lemma to 275 and 722, to get

722 = 275 x 2 + 172

Step 3: We consider the new divisor 275 and the new remainder 172, and apply the division lemma to get

275 = 172 x 1 + 103

We consider the new divisor 172 and the new remainder 103,and apply the division lemma to get

172 = 103 x 1 + 69

We consider the new divisor 103 and the new remainder 69,and apply the division lemma to get

103 = 69 x 1 + 34

We consider the new divisor 69 and the new remainder 34,and apply the division lemma to get

69 = 34 x 2 + 1

We consider the new divisor 34 and the new remainder 1,and apply the division lemma to get

34 = 1 x 34 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 722 and 997 is 1

Notice that 1 = HCF(34,1) = HCF(69,34) = HCF(103,69) = HCF(172,103) = HCF(275,172) = HCF(722,275) = HCF(997,722) .

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

Step 1: Since 63 > 1, we apply the division lemma to 63 and 1, to get

63 = 1 x 63 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 63 is 1

Notice that 1 = HCF(63,1) .

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Frequently Asked Questions on HCF of 722, 997, 63 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 722, 997, 63?

Answer: HCF of 722, 997, 63 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 722, 997, 63 using Euclid's Algorithm?

Answer: For arbitrary numbers 722, 997, 63 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.