Highest Common Factor of 631, 993, 601 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 631, 993, 601 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 631, 993, 601 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 631, 993, 601 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 631, 993, 601 is 1.

HCF(631, 993, 601) = 1

HCF of 631, 993, 601 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 631, 993, 601 is 1.

Highest Common Factor of 631,993,601 using Euclid's algorithm

Highest Common Factor of 631,993,601 is 1

Step 1: Since 993 > 631, we apply the division lemma to 993 and 631, to get

993 = 631 x 1 + 362

Step 2: Since the reminder 631 ≠ 0, we apply division lemma to 362 and 631, to get

631 = 362 x 1 + 269

Step 3: We consider the new divisor 362 and the new remainder 269, and apply the division lemma to get

362 = 269 x 1 + 93

We consider the new divisor 269 and the new remainder 93,and apply the division lemma to get

269 = 93 x 2 + 83

We consider the new divisor 93 and the new remainder 83,and apply the division lemma to get

93 = 83 x 1 + 10

We consider the new divisor 83 and the new remainder 10,and apply the division lemma to get

83 = 10 x 8 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 631 and 993 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(83,10) = HCF(93,83) = HCF(269,93) = HCF(362,269) = HCF(631,362) = HCF(993,631) .

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

Step 1: Since 601 > 1, we apply the division lemma to 601 and 1, to get

601 = 1 x 601 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 601 is 1

Notice that 1 = HCF(601,1) .

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Frequently Asked Questions on HCF of 631, 993, 601 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 631, 993, 601?

Answer: HCF of 631, 993, 601 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 631, 993, 601 using Euclid's Algorithm?

Answer: For arbitrary numbers 631, 993, 601 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.