Highest Common Factor of 403, 623, 641 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 403, 623, 641 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 403, 623, 641 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 403, 623, 641 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 403, 623, 641 is 1.

HCF(403, 623, 641) = 1

HCF of 403, 623, 641 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 403, 623, 641 is 1.

Highest Common Factor of 403,623,641 using Euclid's algorithm

Highest Common Factor of 403,623,641 is 1

Step 1: Since 623 > 403, we apply the division lemma to 623 and 403, to get

623 = 403 x 1 + 220

Step 2: Since the reminder 403 ≠ 0, we apply division lemma to 220 and 403, to get

403 = 220 x 1 + 183

Step 3: We consider the new divisor 220 and the new remainder 183, and apply the division lemma to get

220 = 183 x 1 + 37

We consider the new divisor 183 and the new remainder 37,and apply the division lemma to get

183 = 37 x 4 + 35

We consider the new divisor 37 and the new remainder 35,and apply the division lemma to get

37 = 35 x 1 + 2

We consider the new divisor 35 and the new remainder 2,and apply the division lemma to get

35 = 2 x 17 + 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 403 and 623 is 1

Notice that 1 = HCF(2,1) = HCF(35,2) = HCF(37,35) = HCF(183,37) = HCF(220,183) = HCF(403,220) = HCF(623,403) .

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

Step 1: Since 641 > 1, we apply the division lemma to 641 and 1, to get

641 = 1 x 641 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 641 is 1

Notice that 1 = HCF(641,1) .

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Frequently Asked Questions on HCF of 403, 623, 641 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 403, 623, 641?

Answer: HCF of 403, 623, 641 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 403, 623, 641 using Euclid's Algorithm?

Answer: For arbitrary numbers 403, 623, 641 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.