Highest Common Factor of 997, 6753, 2520 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 997, 6753, 2520 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 997, 6753, 2520 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 997, 6753, 2520 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 997, 6753, 2520 is 1.

HCF(997, 6753, 2520) = 1

HCF of 997, 6753, 2520 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 997, 6753, 2520 is 1.

Highest Common Factor of 997,6753,2520 using Euclid's algorithm

Highest Common Factor of 997,6753,2520 is 1

Step 1: Since 6753 > 997, we apply the division lemma to 6753 and 997, to get

6753 = 997 x 6 + 771

Step 2: Since the reminder 997 ≠ 0, we apply division lemma to 771 and 997, to get

997 = 771 x 1 + 226

Step 3: We consider the new divisor 771 and the new remainder 226, and apply the division lemma to get

771 = 226 x 3 + 93

We consider the new divisor 226 and the new remainder 93,and apply the division lemma to get

226 = 93 x 2 + 40

We consider the new divisor 93 and the new remainder 40,and apply the division lemma to get

93 = 40 x 2 + 13

We consider the new divisor 40 and the new remainder 13,and apply the division lemma to get

40 = 13 x 3 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 997 and 6753 is 1

Notice that 1 = HCF(13,1) = HCF(40,13) = HCF(93,40) = HCF(226,93) = HCF(771,226) = HCF(997,771) = HCF(6753,997) .

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

Step 1: Since 2520 > 1, we apply the division lemma to 2520 and 1, to get

2520 = 1 x 2520 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2520 is 1

Notice that 1 = HCF(2520,1) .

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Frequently Asked Questions on HCF of 997, 6753, 2520 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 997, 6753, 2520?

Answer: HCF of 997, 6753, 2520 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 997, 6753, 2520 using Euclid's Algorithm?

Answer: For arbitrary numbers 997, 6753, 2520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.