Highest Common Factor of 8045, 5685, 97263 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, 5685, 97263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8045, 5685, 97263 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, 5685, 97263 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, 5685, 97263 is 1.

HCF(8045, 5685, 97263) = 1

HCF of 8045, 5685, 97263 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, 5685, 97263 is 1.

Highest Common Factor of 8045,5685,97263 using Euclid's algorithm

Highest Common Factor of 8045,5685,97263 is 1

Step 1: Since 8045 > 5685, we apply the division lemma to 8045 and 5685, to get

8045 = 5685 x 1 + 2360

Step 2: Since the reminder 5685 ≠ 0, we apply division lemma to 2360 and 5685, to get

5685 = 2360 x 2 + 965

Step 3: We consider the new divisor 2360 and the new remainder 965, and apply the division lemma to get

2360 = 965 x 2 + 430

We consider the new divisor 965 and the new remainder 430,and apply the division lemma to get

965 = 430 x 2 + 105

We consider the new divisor 430 and the new remainder 105,and apply the division lemma to get

430 = 105 x 4 + 10

We consider the new divisor 105 and the new remainder 10,and apply the division lemma to get

105 = 10 x 10 + 5

We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get

10 = 5 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8045 and 5685 is 5

Notice that 5 = HCF(10,5) = HCF(105,10) = HCF(430,105) = HCF(965,430) = HCF(2360,965) = HCF(5685,2360) = HCF(8045,5685) .

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

Step 1: Since 97263 > 5, we apply the division lemma to 97263 and 5, to get

97263 = 5 x 19452 + 3

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 3 and 5, to get

5 = 3 x 1 + 2

Step 3: We consider the new divisor 3 and the new remainder 2, and apply the division lemma to get

3 = 2 x 1 + 1

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 97263 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(97263,5) .

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Frequently Asked Questions on HCF of 8045, 5685, 97263 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, 5685, 97263?

Answer: HCF of 8045, 5685, 97263 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8045, 5685, 97263 using Euclid's Algorithm?

Answer: For arbitrary numbers 8045, 5685, 97263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.