Highest Common Factor of 6467, 9775, 31333 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 6467, 9775, 31333 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6467, 9775, 31333 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 6467, 9775, 31333 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 6467, 9775, 31333 is 1.

HCF(6467, 9775, 31333) = 1

HCF of 6467, 9775, 31333 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 6467, 9775, 31333 is 1.

Highest Common Factor of 6467,9775,31333 using Euclid's algorithm

Highest Common Factor of 6467,9775,31333 is 1

Step 1: Since 9775 > 6467, we apply the division lemma to 9775 and 6467, to get

9775 = 6467 x 1 + 3308

Step 2: Since the reminder 6467 ≠ 0, we apply division lemma to 3308 and 6467, to get

6467 = 3308 x 1 + 3159

Step 3: We consider the new divisor 3308 and the new remainder 3159, and apply the division lemma to get

3308 = 3159 x 1 + 149

We consider the new divisor 3159 and the new remainder 149,and apply the division lemma to get

3159 = 149 x 21 + 30

We consider the new divisor 149 and the new remainder 30,and apply the division lemma to get

149 = 30 x 4 + 29

We consider the new divisor 30 and the new remainder 29,and apply the division lemma to get

30 = 29 x 1 + 1

We consider the new divisor 29 and the new remainder 1,and apply the division lemma to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6467 and 9775 is 1

Notice that 1 = HCF(29,1) = HCF(30,29) = HCF(149,30) = HCF(3159,149) = HCF(3308,3159) = HCF(6467,3308) = HCF(9775,6467) .

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

Step 1: Since 31333 > 1, we apply the division lemma to 31333 and 1, to get

31333 = 1 x 31333 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 31333 is 1

Notice that 1 = HCF(31333,1) .

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Frequently Asked Questions on HCF of 6467, 9775, 31333 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 6467, 9775, 31333?

Answer: HCF of 6467, 9775, 31333 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6467, 9775, 31333 using Euclid's Algorithm?

Answer: For arbitrary numbers 6467, 9775, 31333 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.