Highest Common Factor of 331, 3240, 6620 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 331, 3240, 6620 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 331, 3240, 6620 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 331, 3240, 6620 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 331, 3240, 6620 is 1.

HCF(331, 3240, 6620) = 1

HCF of 331, 3240, 6620 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 331, 3240, 6620 is 1.

Highest Common Factor of 331,3240,6620 using Euclid's algorithm

Highest Common Factor of 331,3240,6620 is 1

Step 1: Since 3240 > 331, we apply the division lemma to 3240 and 331, to get

3240 = 331 x 9 + 261

Step 2: Since the reminder 331 ≠ 0, we apply division lemma to 261 and 331, to get

331 = 261 x 1 + 70

Step 3: We consider the new divisor 261 and the new remainder 70, and apply the division lemma to get

261 = 70 x 3 + 51

We consider the new divisor 70 and the new remainder 51,and apply the division lemma to get

70 = 51 x 1 + 19

We consider the new divisor 51 and the new remainder 19,and apply the division lemma to get

51 = 19 x 2 + 13

We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get

19 = 13 x 1 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 331 and 3240 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(51,19) = HCF(70,51) = HCF(261,70) = HCF(331,261) = HCF(3240,331) .


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

Step 1: Since 6620 > 1, we apply the division lemma to 6620 and 1, to get

6620 = 1 x 6620 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6620 is 1

Notice that 1 = HCF(6620,1) .

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Frequently Asked Questions on HCF of 331, 3240, 6620 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 331, 3240, 6620?

Answer: HCF of 331, 3240, 6620 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 331, 3240, 6620 using Euclid's Algorithm?

Answer: For arbitrary numbers 331, 3240, 6620 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.