Highest Common Factor of 9437, 6908, 67691 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 9437, 6908, 67691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9437, 6908, 67691 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 9437, 6908, 67691 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 9437, 6908, 67691 is 1.

HCF(9437, 6908, 67691) = 1

HCF of 9437, 6908, 67691 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 9437, 6908, 67691 is 1.

Highest Common Factor of 9437,6908,67691 using Euclid's algorithm

Highest Common Factor of 9437,6908,67691 is 1

Step 1: Since 9437 > 6908, we apply the division lemma to 9437 and 6908, to get

9437 = 6908 x 1 + 2529

Step 2: Since the reminder 6908 ≠ 0, we apply division lemma to 2529 and 6908, to get

6908 = 2529 x 2 + 1850

Step 3: We consider the new divisor 2529 and the new remainder 1850, and apply the division lemma to get

2529 = 1850 x 1 + 679

We consider the new divisor 1850 and the new remainder 679,and apply the division lemma to get

1850 = 679 x 2 + 492

We consider the new divisor 679 and the new remainder 492,and apply the division lemma to get

679 = 492 x 1 + 187

We consider the new divisor 492 and the new remainder 187,and apply the division lemma to get

492 = 187 x 2 + 118

We consider the new divisor 187 and the new remainder 118,and apply the division lemma to get

187 = 118 x 1 + 69

We consider the new divisor 118 and the new remainder 69,and apply the division lemma to get

118 = 69 x 1 + 49

We consider the new divisor 69 and the new remainder 49,and apply the division lemma to get

69 = 49 x 1 + 20

We consider the new divisor 49 and the new remainder 20,and apply the division lemma to get

49 = 20 x 2 + 9

We consider the new divisor 20 and the new remainder 9,and apply the division lemma to get

20 = 9 x 2 + 2

We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get

9 = 2 x 4 + 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 9437 and 6908 is 1

Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(20,9) = HCF(49,20) = HCF(69,49) = HCF(118,69) = HCF(187,118) = HCF(492,187) = HCF(679,492) = HCF(1850,679) = HCF(2529,1850) = HCF(6908,2529) = HCF(9437,6908) .

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

Step 1: Since 67691 > 1, we apply the division lemma to 67691 and 1, to get

67691 = 1 x 67691 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67691 is 1

Notice that 1 = HCF(67691,1) .

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Frequently Asked Questions on HCF of 9437, 6908, 67691 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 9437, 6908, 67691?

Answer: HCF of 9437, 6908, 67691 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9437, 6908, 67691 using Euclid's Algorithm?

Answer: For arbitrary numbers 9437, 6908, 67691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.