Highest Common Factor of 623, 9234, 5366 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 623, 9234, 5366 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 623, 9234, 5366 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 623, 9234, 5366 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 623, 9234, 5366 is 1.

HCF(623, 9234, 5366) = 1

HCF of 623, 9234, 5366 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 623, 9234, 5366 is 1.

Highest Common Factor of 623,9234,5366 using Euclid's algorithm

Highest Common Factor of 623,9234,5366 is 1

Step 1: Since 9234 > 623, we apply the division lemma to 9234 and 623, to get

9234 = 623 x 14 + 512

Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 512 and 623, to get

623 = 512 x 1 + 111

Step 3: We consider the new divisor 512 and the new remainder 111, and apply the division lemma to get

512 = 111 x 4 + 68

We consider the new divisor 111 and the new remainder 68,and apply the division lemma to get

111 = 68 x 1 + 43

We consider the new divisor 68 and the new remainder 43,and apply the division lemma to get

68 = 43 x 1 + 25

We consider the new divisor 43 and the new remainder 25,and apply the division lemma to get

43 = 25 x 1 + 18

We consider the new divisor 25 and the new remainder 18,and apply the division lemma to get

25 = 18 x 1 + 7

We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get

18 = 7 x 2 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 623 and 9234 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(25,18) = HCF(43,25) = HCF(68,43) = HCF(111,68) = HCF(512,111) = HCF(623,512) = HCF(9234,623) .

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

Step 1: Since 5366 > 1, we apply the division lemma to 5366 and 1, to get

5366 = 1 x 5366 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5366 is 1

Notice that 1 = HCF(5366,1) .

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Frequently Asked Questions on HCF of 623, 9234, 5366 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 623, 9234, 5366?

Answer: HCF of 623, 9234, 5366 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 623, 9234, 5366 using Euclid's Algorithm?

Answer: For arbitrary numbers 623, 9234, 5366 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.