Highest Common Factor of 4305, 2591, 55345 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 4305, 2591, 55345 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4305, 2591, 55345 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 4305, 2591, 55345 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 4305, 2591, 55345 is 1.

HCF(4305, 2591, 55345) = 1

HCF of 4305, 2591, 55345 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 4305, 2591, 55345 is 1.

Highest Common Factor of 4305,2591,55345 using Euclid's algorithm

Highest Common Factor of 4305,2591,55345 is 1

Step 1: Since 4305 > 2591, we apply the division lemma to 4305 and 2591, to get

4305 = 2591 x 1 + 1714

Step 2: Since the reminder 2591 ≠ 0, we apply division lemma to 1714 and 2591, to get

2591 = 1714 x 1 + 877

Step 3: We consider the new divisor 1714 and the new remainder 877, and apply the division lemma to get

1714 = 877 x 1 + 837

We consider the new divisor 877 and the new remainder 837,and apply the division lemma to get

877 = 837 x 1 + 40

We consider the new divisor 837 and the new remainder 40,and apply the division lemma to get

837 = 40 x 20 + 37

We consider the new divisor 40 and the new remainder 37,and apply the division lemma to get

40 = 37 x 1 + 3

We consider the new divisor 37 and the new remainder 3,and apply the division lemma to get

37 = 3 x 12 + 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 4305 and 2591 is 1

Notice that 1 = HCF(3,1) = HCF(37,3) = HCF(40,37) = HCF(837,40) = HCF(877,837) = HCF(1714,877) = HCF(2591,1714) = HCF(4305,2591) .

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

Step 1: Since 55345 > 1, we apply the division lemma to 55345 and 1, to get

55345 = 1 x 55345 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 55345 is 1

Notice that 1 = HCF(55345,1) .

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Frequently Asked Questions on HCF of 4305, 2591, 55345 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 4305, 2591, 55345?

Answer: HCF of 4305, 2591, 55345 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4305, 2591, 55345 using Euclid's Algorithm?

Answer: For arbitrary numbers 4305, 2591, 55345 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.