Highest Common Factor of 4113, 7383, 52223 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 4113, 7383, 52223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4113, 7383, 52223 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 4113, 7383, 52223 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 4113, 7383, 52223 is 1.

HCF(4113, 7383, 52223) = 1

HCF of 4113, 7383, 52223 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 4113, 7383, 52223 is 1.

Highest Common Factor of 4113,7383,52223 using Euclid's algorithm

Highest Common Factor of 4113,7383,52223 is 1

Step 1: Since 7383 > 4113, we apply the division lemma to 7383 and 4113, to get

7383 = 4113 x 1 + 3270

Step 2: Since the reminder 4113 ≠ 0, we apply division lemma to 3270 and 4113, to get

4113 = 3270 x 1 + 843

Step 3: We consider the new divisor 3270 and the new remainder 843, and apply the division lemma to get

3270 = 843 x 3 + 741

We consider the new divisor 843 and the new remainder 741,and apply the division lemma to get

843 = 741 x 1 + 102

We consider the new divisor 741 and the new remainder 102,and apply the division lemma to get

741 = 102 x 7 + 27

We consider the new divisor 102 and the new remainder 27,and apply the division lemma to get

102 = 27 x 3 + 21

We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get

27 = 21 x 1 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4113 and 7383 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(102,27) = HCF(741,102) = HCF(843,741) = HCF(3270,843) = HCF(4113,3270) = HCF(7383,4113) .

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

Step 1: Since 52223 > 3, we apply the division lemma to 52223 and 3, to get

52223 = 3 x 17407 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 52223 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(52223,3) .

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Frequently Asked Questions on HCF of 4113, 7383, 52223 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 4113, 7383, 52223?

Answer: HCF of 4113, 7383, 52223 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4113, 7383, 52223 using Euclid's Algorithm?

Answer: For arbitrary numbers 4113, 7383, 52223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.