Highest Common Factor of 2965, 9806, 88084 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 2965, 9806, 88084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2965, 9806, 88084 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 2965, 9806, 88084 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 2965, 9806, 88084 is 1.

HCF(2965, 9806, 88084) = 1

HCF of 2965, 9806, 88084 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 2965, 9806, 88084 is 1.

Highest Common Factor of 2965,9806,88084 using Euclid's algorithm

Highest Common Factor of 2965,9806,88084 is 1

Step 1: Since 9806 > 2965, we apply the division lemma to 9806 and 2965, to get

9806 = 2965 x 3 + 911

Step 2: Since the reminder 2965 ≠ 0, we apply division lemma to 911 and 2965, to get

2965 = 911 x 3 + 232

Step 3: We consider the new divisor 911 and the new remainder 232, and apply the division lemma to get

911 = 232 x 3 + 215

We consider the new divisor 232 and the new remainder 215,and apply the division lemma to get

232 = 215 x 1 + 17

We consider the new divisor 215 and the new remainder 17,and apply the division lemma to get

215 = 17 x 12 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2965 and 9806 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(215,17) = HCF(232,215) = HCF(911,232) = HCF(2965,911) = HCF(9806,2965) .

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

Step 1: Since 88084 > 1, we apply the division lemma to 88084 and 1, to get

88084 = 1 x 88084 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 88084 is 1

Notice that 1 = HCF(88084,1) .

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Frequently Asked Questions on HCF of 2965, 9806, 88084 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 2965, 9806, 88084?

Answer: HCF of 2965, 9806, 88084 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2965, 9806, 88084 using Euclid's Algorithm?

Answer: For arbitrary numbers 2965, 9806, 88084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.