Highest Common Factor of 8015, 9444, 68249 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 8015, 9444, 68249 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8015, 9444, 68249 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 8015, 9444, 68249 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 8015, 9444, 68249 is 1.

HCF(8015, 9444, 68249) = 1

HCF of 8015, 9444, 68249 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 8015, 9444, 68249 is 1.

Highest Common Factor of 8015,9444,68249 using Euclid's algorithm

Highest Common Factor of 8015,9444,68249 is 1

Step 1: Since 9444 > 8015, we apply the division lemma to 9444 and 8015, to get

9444 = 8015 x 1 + 1429

Step 2: Since the reminder 8015 ≠ 0, we apply division lemma to 1429 and 8015, to get

8015 = 1429 x 5 + 870

Step 3: We consider the new divisor 1429 and the new remainder 870, and apply the division lemma to get

1429 = 870 x 1 + 559

We consider the new divisor 870 and the new remainder 559,and apply the division lemma to get

870 = 559 x 1 + 311

We consider the new divisor 559 and the new remainder 311,and apply the division lemma to get

559 = 311 x 1 + 248

We consider the new divisor 311 and the new remainder 248,and apply the division lemma to get

311 = 248 x 1 + 63

We consider the new divisor 248 and the new remainder 63,and apply the division lemma to get

248 = 63 x 3 + 59

We consider the new divisor 63 and the new remainder 59,and apply the division lemma to get

63 = 59 x 1 + 4

We consider the new divisor 59 and the new remainder 4,and apply the division lemma to get

59 = 4 x 14 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 8015 and 9444 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(59,4) = HCF(63,59) = HCF(248,63) = HCF(311,248) = HCF(559,311) = HCF(870,559) = HCF(1429,870) = HCF(8015,1429) = HCF(9444,8015) .

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

Step 1: Since 68249 > 1, we apply the division lemma to 68249 and 1, to get

68249 = 1 x 68249 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 68249 is 1

Notice that 1 = HCF(68249,1) .

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Frequently Asked Questions on HCF of 8015, 9444, 68249 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 8015, 9444, 68249?

Answer: HCF of 8015, 9444, 68249 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8015, 9444, 68249 using Euclid's Algorithm?

Answer: For arbitrary numbers 8015, 9444, 68249 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.