Highest Common Factor of 2332, 9685, 86954 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 2332, 9685, 86954 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2332, 9685, 86954 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 2332, 9685, 86954 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 2332, 9685, 86954 is 1.

HCF(2332, 9685, 86954) = 1

HCF of 2332, 9685, 86954 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 2332, 9685, 86954 is 1.

Highest Common Factor of 2332,9685,86954 using Euclid's algorithm

Highest Common Factor of 2332,9685,86954 is 1

Step 1: Since 9685 > 2332, we apply the division lemma to 9685 and 2332, to get

9685 = 2332 x 4 + 357

Step 2: Since the reminder 2332 ≠ 0, we apply division lemma to 357 and 2332, to get

2332 = 357 x 6 + 190

Step 3: We consider the new divisor 357 and the new remainder 190, and apply the division lemma to get

357 = 190 x 1 + 167

We consider the new divisor 190 and the new remainder 167,and apply the division lemma to get

190 = 167 x 1 + 23

We consider the new divisor 167 and the new remainder 23,and apply the division lemma to get

167 = 23 x 7 + 6

We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get

23 = 6 x 3 + 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 2332 and 9685 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(167,23) = HCF(190,167) = HCF(357,190) = HCF(2332,357) = HCF(9685,2332) .

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

Step 1: Since 86954 > 1, we apply the division lemma to 86954 and 1, to get

86954 = 1 x 86954 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86954 is 1

Notice that 1 = HCF(86954,1) .

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Frequently Asked Questions on HCF of 2332, 9685, 86954 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 2332, 9685, 86954?

Answer: HCF of 2332, 9685, 86954 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2332, 9685, 86954 using Euclid's Algorithm?

Answer: For arbitrary numbers 2332, 9685, 86954 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.