Highest Common Factor of 8415, 7151, 54332 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 8415, 7151, 54332 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8415, 7151, 54332 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 8415, 7151, 54332 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 8415, 7151, 54332 is 1.

HCF(8415, 7151, 54332) = 1

HCF of 8415, 7151, 54332 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 8415, 7151, 54332 is 1.

Highest Common Factor of 8415,7151,54332 using Euclid's algorithm

Highest Common Factor of 8415,7151,54332 is 1

Step 1: Since 8415 > 7151, we apply the division lemma to 8415 and 7151, to get

8415 = 7151 x 1 + 1264

Step 2: Since the reminder 7151 ≠ 0, we apply division lemma to 1264 and 7151, to get

7151 = 1264 x 5 + 831

Step 3: We consider the new divisor 1264 and the new remainder 831, and apply the division lemma to get

1264 = 831 x 1 + 433

We consider the new divisor 831 and the new remainder 433,and apply the division lemma to get

831 = 433 x 1 + 398

We consider the new divisor 433 and the new remainder 398,and apply the division lemma to get

433 = 398 x 1 + 35

We consider the new divisor 398 and the new remainder 35,and apply the division lemma to get

398 = 35 x 11 + 13

We consider the new divisor 35 and the new remainder 13,and apply the division lemma to get

35 = 13 x 2 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 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 8415 and 7151 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(35,13) = HCF(398,35) = HCF(433,398) = HCF(831,433) = HCF(1264,831) = HCF(7151,1264) = HCF(8415,7151) .

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

Step 1: Since 54332 > 1, we apply the division lemma to 54332 and 1, to get

54332 = 1 x 54332 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54332 is 1

Notice that 1 = HCF(54332,1) .

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Frequently Asked Questions on HCF of 8415, 7151, 54332 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 8415, 7151, 54332?

Answer: HCF of 8415, 7151, 54332 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8415, 7151, 54332 using Euclid's Algorithm?

Answer: For arbitrary numbers 8415, 7151, 54332 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.