Highest Common Factor of 8478, 5933, 64064 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 8478, 5933, 64064 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8478, 5933, 64064 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 8478, 5933, 64064 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 8478, 5933, 64064 is 1.

HCF(8478, 5933, 64064) = 1

HCF of 8478, 5933, 64064 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 8478, 5933, 64064 is 1.

Highest Common Factor of 8478,5933,64064 using Euclid's algorithm

Highest Common Factor of 8478,5933,64064 is 1

Step 1: Since 8478 > 5933, we apply the division lemma to 8478 and 5933, to get

8478 = 5933 x 1 + 2545

Step 2: Since the reminder 5933 ≠ 0, we apply division lemma to 2545 and 5933, to get

5933 = 2545 x 2 + 843

Step 3: We consider the new divisor 2545 and the new remainder 843, and apply the division lemma to get

2545 = 843 x 3 + 16

We consider the new divisor 843 and the new remainder 16,and apply the division lemma to get

843 = 16 x 52 + 11

We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get

16 = 11 x 1 + 5

We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get

11 = 5 x 2 + 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 8478 and 5933 is 1

Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(843,16) = HCF(2545,843) = HCF(5933,2545) = HCF(8478,5933) .

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

Step 1: Since 64064 > 1, we apply the division lemma to 64064 and 1, to get

64064 = 1 x 64064 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64064 is 1

Notice that 1 = HCF(64064,1) .

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Frequently Asked Questions on HCF of 8478, 5933, 64064 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 8478, 5933, 64064?

Answer: HCF of 8478, 5933, 64064 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8478, 5933, 64064 using Euclid's Algorithm?

Answer: For arbitrary numbers 8478, 5933, 64064 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.