Highest Common Factor of 4775, 5690, 23412 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 4775, 5690, 23412 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4775, 5690, 23412 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 4775, 5690, 23412 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 4775, 5690, 23412 is 1.

HCF(4775, 5690, 23412) = 1

HCF of 4775, 5690, 23412 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 4775, 5690, 23412 is 1.

Highest Common Factor of 4775,5690,23412 using Euclid's algorithm

Highest Common Factor of 4775,5690,23412 is 1

Step 1: Since 5690 > 4775, we apply the division lemma to 5690 and 4775, to get

5690 = 4775 x 1 + 915

Step 2: Since the reminder 4775 ≠ 0, we apply division lemma to 915 and 4775, to get

4775 = 915 x 5 + 200

Step 3: We consider the new divisor 915 and the new remainder 200, and apply the division lemma to get

915 = 200 x 4 + 115

We consider the new divisor 200 and the new remainder 115,and apply the division lemma to get

200 = 115 x 1 + 85

We consider the new divisor 115 and the new remainder 85,and apply the division lemma to get

115 = 85 x 1 + 30

We consider the new divisor 85 and the new remainder 30,and apply the division lemma to get

85 = 30 x 2 + 25

We consider the new divisor 30 and the new remainder 25,and apply the division lemma to get

30 = 25 x 1 + 5

We consider the new divisor 25 and the new remainder 5,and apply the division lemma to get

25 = 5 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 4775 and 5690 is 5

Notice that 5 = HCF(25,5) = HCF(30,25) = HCF(85,30) = HCF(115,85) = HCF(200,115) = HCF(915,200) = HCF(4775,915) = HCF(5690,4775) .

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

Step 1: Since 23412 > 5, we apply the division lemma to 23412 and 5, to get

23412 = 5 x 4682 + 2

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 2 and 5, to get

5 = 2 x 2 + 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 5 and 23412 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(23412,5) .

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Frequently Asked Questions on HCF of 4775, 5690, 23412 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 4775, 5690, 23412?

Answer: HCF of 4775, 5690, 23412 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4775, 5690, 23412 using Euclid's Algorithm?

Answer: For arbitrary numbers 4775, 5690, 23412 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.