Highest Common Factor of 2637, 2394, 30235 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 2637, 2394, 30235 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2637, 2394, 30235 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 2637, 2394, 30235 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 2637, 2394, 30235 is 1.

HCF(2637, 2394, 30235) = 1

HCF of 2637, 2394, 30235 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 2637, 2394, 30235 is 1.

Highest Common Factor of 2637,2394,30235 using Euclid's algorithm

Highest Common Factor of 2637,2394,30235 is 1

Step 1: Since 2637 > 2394, we apply the division lemma to 2637 and 2394, to get

2637 = 2394 x 1 + 243

Step 2: Since the reminder 2394 ≠ 0, we apply division lemma to 243 and 2394, to get

2394 = 243 x 9 + 207

Step 3: We consider the new divisor 243 and the new remainder 207, and apply the division lemma to get

243 = 207 x 1 + 36

We consider the new divisor 207 and the new remainder 36,and apply the division lemma to get

207 = 36 x 5 + 27

We consider the new divisor 36 and the new remainder 27,and apply the division lemma to get

36 = 27 x 1 + 9

We consider the new divisor 27 and the new remainder 9,and apply the division lemma to get

27 = 9 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 2637 and 2394 is 9

Notice that 9 = HCF(27,9) = HCF(36,27) = HCF(207,36) = HCF(243,207) = HCF(2394,243) = HCF(2637,2394) .

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

Step 1: Since 30235 > 9, we apply the division lemma to 30235 and 9, to get

30235 = 9 x 3359 + 4

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 4 and 9, to get

9 = 4 x 2 + 1

Step 3: 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 9 and 30235 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(30235,9) .

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Frequently Asked Questions on HCF of 2637, 2394, 30235 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 2637, 2394, 30235?

Answer: HCF of 2637, 2394, 30235 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2637, 2394, 30235 using Euclid's Algorithm?

Answer: For arbitrary numbers 2637, 2394, 30235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.