Highest Common Factor of 8054, 5805, 70067 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 8054, 5805, 70067 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8054, 5805, 70067 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 8054, 5805, 70067 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 8054, 5805, 70067 is 1.

HCF(8054, 5805, 70067) = 1

HCF of 8054, 5805, 70067 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 8054, 5805, 70067 is 1.

Highest Common Factor of 8054,5805,70067 using Euclid's algorithm

Highest Common Factor of 8054,5805,70067 is 1

Step 1: Since 8054 > 5805, we apply the division lemma to 8054 and 5805, to get

8054 = 5805 x 1 + 2249

Step 2: Since the reminder 5805 ≠ 0, we apply division lemma to 2249 and 5805, to get

5805 = 2249 x 2 + 1307

Step 3: We consider the new divisor 2249 and the new remainder 1307, and apply the division lemma to get

2249 = 1307 x 1 + 942

We consider the new divisor 1307 and the new remainder 942,and apply the division lemma to get

1307 = 942 x 1 + 365

We consider the new divisor 942 and the new remainder 365,and apply the division lemma to get

942 = 365 x 2 + 212

We consider the new divisor 365 and the new remainder 212,and apply the division lemma to get

365 = 212 x 1 + 153

We consider the new divisor 212 and the new remainder 153,and apply the division lemma to get

212 = 153 x 1 + 59

We consider the new divisor 153 and the new remainder 59,and apply the division lemma to get

153 = 59 x 2 + 35

We consider the new divisor 59 and the new remainder 35,and apply the division lemma to get

59 = 35 x 1 + 24

We consider the new divisor 35 and the new remainder 24,and apply the division lemma to get

35 = 24 x 1 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 8054 and 5805 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(35,24) = HCF(59,35) = HCF(153,59) = HCF(212,153) = HCF(365,212) = HCF(942,365) = HCF(1307,942) = HCF(2249,1307) = HCF(5805,2249) = HCF(8054,5805) .

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

Step 1: Since 70067 > 1, we apply the division lemma to 70067 and 1, to get

70067 = 1 x 70067 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70067 is 1

Notice that 1 = HCF(70067,1) .

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Frequently Asked Questions on HCF of 8054, 5805, 70067 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 8054, 5805, 70067?

Answer: HCF of 8054, 5805, 70067 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8054, 5805, 70067 using Euclid's Algorithm?

Answer: For arbitrary numbers 8054, 5805, 70067 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.