Highest Common Factor of 620, 1323, 8299 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 620, 1323, 8299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 620, 1323, 8299 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 620, 1323, 8299 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 620, 1323, 8299 is 1.

HCF(620, 1323, 8299) = 1

HCF of 620, 1323, 8299 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 620, 1323, 8299 is 1.

Highest Common Factor of 620,1323,8299 using Euclid's algorithm

Highest Common Factor of 620,1323,8299 is 1

Step 1: Since 1323 > 620, we apply the division lemma to 1323 and 620, to get

1323 = 620 x 2 + 83

Step 2: Since the reminder 620 ≠ 0, we apply division lemma to 83 and 620, to get

620 = 83 x 7 + 39

Step 3: We consider the new divisor 83 and the new remainder 39, and apply the division lemma to get

83 = 39 x 2 + 5

We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get

39 = 5 x 7 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

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 620 and 1323 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(83,39) = HCF(620,83) = HCF(1323,620) .

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

Step 1: Since 8299 > 1, we apply the division lemma to 8299 and 1, to get

8299 = 1 x 8299 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 8299 is 1

Notice that 1 = HCF(8299,1) .

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Frequently Asked Questions on HCF of 620, 1323, 8299 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 620, 1323, 8299?

Answer: HCF of 620, 1323, 8299 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 620, 1323, 8299 using Euclid's Algorithm?

Answer: For arbitrary numbers 620, 1323, 8299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.