Highest Common Factor of 1624, 5423, 85747 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 1624, 5423, 85747 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1624, 5423, 85747 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 1624, 5423, 85747 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 1624, 5423, 85747 is 1.

HCF(1624, 5423, 85747) = 1

HCF of 1624, 5423, 85747 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 1624, 5423, 85747 is 1.

Highest Common Factor of 1624,5423,85747 using Euclid's algorithm

Highest Common Factor of 1624,5423,85747 is 1

Step 1: Since 5423 > 1624, we apply the division lemma to 5423 and 1624, to get

5423 = 1624 x 3 + 551

Step 2: Since the reminder 1624 ≠ 0, we apply division lemma to 551 and 1624, to get

1624 = 551 x 2 + 522

Step 3: We consider the new divisor 551 and the new remainder 522, and apply the division lemma to get

551 = 522 x 1 + 29

We consider the new divisor 522 and the new remainder 29, and apply the division lemma to get

522 = 29 x 18 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 1624 and 5423 is 29

Notice that 29 = HCF(522,29) = HCF(551,522) = HCF(1624,551) = HCF(5423,1624) .

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

Step 1: Since 85747 > 29, we apply the division lemma to 85747 and 29, to get

85747 = 29 x 2956 + 23

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 23 and 29, to get

29 = 23 x 1 + 6

Step 3: We consider the new divisor 23 and the new remainder 6, and apply the division lemma to get

23 = 6 x 3 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 85747 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(85747,29) .

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Frequently Asked Questions on HCF of 1624, 5423, 85747 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 1624, 5423, 85747?

Answer: HCF of 1624, 5423, 85747 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1624, 5423, 85747 using Euclid's Algorithm?

Answer: For arbitrary numbers 1624, 5423, 85747 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.