Highest Common Factor of 3615, 7390, 81557 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 3615, 7390, 81557 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3615, 7390, 81557 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 3615, 7390, 81557 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 3615, 7390, 81557 is 1.

HCF(3615, 7390, 81557) = 1

HCF of 3615, 7390, 81557 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 3615, 7390, 81557 is 1.

Highest Common Factor of 3615,7390,81557 using Euclid's algorithm

Highest Common Factor of 3615,7390,81557 is 1

Step 1: Since 7390 > 3615, we apply the division lemma to 7390 and 3615, to get

7390 = 3615 x 2 + 160

Step 2: Since the reminder 3615 ≠ 0, we apply division lemma to 160 and 3615, to get

3615 = 160 x 22 + 95

Step 3: We consider the new divisor 160 and the new remainder 95, and apply the division lemma to get

160 = 95 x 1 + 65

We consider the new divisor 95 and the new remainder 65,and apply the division lemma to get

95 = 65 x 1 + 30

We consider the new divisor 65 and the new remainder 30,and apply the division lemma to get

65 = 30 x 2 + 5

We consider the new divisor 30 and the new remainder 5,and apply the division lemma to get

30 = 5 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 3615 and 7390 is 5

Notice that 5 = HCF(30,5) = HCF(65,30) = HCF(95,65) = HCF(160,95) = HCF(3615,160) = HCF(7390,3615) .

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

Step 1: Since 81557 > 5, we apply the division lemma to 81557 and 5, to get

81557 = 5 x 16311 + 2

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

5 = 2 x 2 + 1

Step 3: 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 81557 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(81557,5) .

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Frequently Asked Questions on HCF of 3615, 7390, 81557 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 3615, 7390, 81557?

Answer: HCF of 3615, 7390, 81557 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3615, 7390, 81557 using Euclid's Algorithm?

Answer: For arbitrary numbers 3615, 7390, 81557 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.