Highest Common Factor of 9515, 2682, 78085 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 9515, 2682, 78085 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9515, 2682, 78085 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 9515, 2682, 78085 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 9515, 2682, 78085 is 1.

HCF(9515, 2682, 78085) = 1

HCF of 9515, 2682, 78085 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 9515, 2682, 78085 is 1.

Highest Common Factor of 9515,2682,78085 using Euclid's algorithm

Highest Common Factor of 9515,2682,78085 is 1

Step 1: Since 9515 > 2682, we apply the division lemma to 9515 and 2682, to get

9515 = 2682 x 3 + 1469

Step 2: Since the reminder 2682 ≠ 0, we apply division lemma to 1469 and 2682, to get

2682 = 1469 x 1 + 1213

Step 3: We consider the new divisor 1469 and the new remainder 1213, and apply the division lemma to get

1469 = 1213 x 1 + 256

We consider the new divisor 1213 and the new remainder 256,and apply the division lemma to get

1213 = 256 x 4 + 189

We consider the new divisor 256 and the new remainder 189,and apply the division lemma to get

256 = 189 x 1 + 67

We consider the new divisor 189 and the new remainder 67,and apply the division lemma to get

189 = 67 x 2 + 55

We consider the new divisor 67 and the new remainder 55,and apply the division lemma to get

67 = 55 x 1 + 12

We consider the new divisor 55 and the new remainder 12,and apply the division lemma to get

55 = 12 x 4 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 9515 and 2682 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(55,12) = HCF(67,55) = HCF(189,67) = HCF(256,189) = HCF(1213,256) = HCF(1469,1213) = HCF(2682,1469) = HCF(9515,2682) .

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

Step 1: Since 78085 > 1, we apply the division lemma to 78085 and 1, to get

78085 = 1 x 78085 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 78085 is 1

Notice that 1 = HCF(78085,1) .

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Frequently Asked Questions on HCF of 9515, 2682, 78085 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 9515, 2682, 78085?

Answer: HCF of 9515, 2682, 78085 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9515, 2682, 78085 using Euclid's Algorithm?

Answer: For arbitrary numbers 9515, 2682, 78085 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.