Highest Common Factor of 8045, 5322, 32265 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 8045, 5322, 32265 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8045, 5322, 32265 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 8045, 5322, 32265 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 8045, 5322, 32265 is 1.

HCF(8045, 5322, 32265) = 1

HCF of 8045, 5322, 32265 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 8045, 5322, 32265 is 1.

Highest Common Factor of 8045,5322,32265 using Euclid's algorithm

Highest Common Factor of 8045,5322,32265 is 1

Step 1: Since 8045 > 5322, we apply the division lemma to 8045 and 5322, to get

8045 = 5322 x 1 + 2723

Step 2: Since the reminder 5322 ≠ 0, we apply division lemma to 2723 and 5322, to get

5322 = 2723 x 1 + 2599

Step 3: We consider the new divisor 2723 and the new remainder 2599, and apply the division lemma to get

2723 = 2599 x 1 + 124

We consider the new divisor 2599 and the new remainder 124,and apply the division lemma to get

2599 = 124 x 20 + 119

We consider the new divisor 124 and the new remainder 119,and apply the division lemma to get

124 = 119 x 1 + 5

We consider the new divisor 119 and the new remainder 5,and apply the division lemma to get

119 = 5 x 23 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8045 and 5322 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(119,5) = HCF(124,119) = HCF(2599,124) = HCF(2723,2599) = HCF(5322,2723) = HCF(8045,5322) .

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

Step 1: Since 32265 > 1, we apply the division lemma to 32265 and 1, to get

32265 = 1 x 32265 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32265 is 1

Notice that 1 = HCF(32265,1) .

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Frequently Asked Questions on HCF of 8045, 5322, 32265 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 8045, 5322, 32265?

Answer: HCF of 8045, 5322, 32265 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8045, 5322, 32265 using Euclid's Algorithm?

Answer: For arbitrary numbers 8045, 5322, 32265 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.