Highest Common Factor of 8403, 3223 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 8403, 3223 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8403, 3223 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 8403, 3223 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 8403, 3223 is 1.

HCF(8403, 3223) = 1

HCF of 8403, 3223 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 8403, 3223 is 1.

Highest Common Factor of 8403,3223 using Euclid's algorithm

Highest Common Factor of 8403,3223 is 1

Step 1: Since 8403 > 3223, we apply the division lemma to 8403 and 3223, to get

8403 = 3223 x 2 + 1957

Step 2: Since the reminder 3223 ≠ 0, we apply division lemma to 1957 and 3223, to get

3223 = 1957 x 1 + 1266

Step 3: We consider the new divisor 1957 and the new remainder 1266, and apply the division lemma to get

1957 = 1266 x 1 + 691

We consider the new divisor 1266 and the new remainder 691,and apply the division lemma to get

1266 = 691 x 1 + 575

We consider the new divisor 691 and the new remainder 575,and apply the division lemma to get

691 = 575 x 1 + 116

We consider the new divisor 575 and the new remainder 116,and apply the division lemma to get

575 = 116 x 4 + 111

We consider the new divisor 116 and the new remainder 111,and apply the division lemma to get

116 = 111 x 1 + 5

We consider the new divisor 111 and the new remainder 5,and apply the division lemma to get

111 = 5 x 22 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8403 and 3223 is 1

Notice that 1 = HCF(5,1) = HCF(111,5) = HCF(116,111) = HCF(575,116) = HCF(691,575) = HCF(1266,691) = HCF(1957,1266) = HCF(3223,1957) = HCF(8403,3223) .

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Frequently Asked Questions on HCF of 8403, 3223 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 8403, 3223?

Answer: HCF of 8403, 3223 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8403, 3223 using Euclid's Algorithm?

Answer: For arbitrary numbers 8403, 3223 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.