Highest Common Factor of 5221, 7409, 12303 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 5221, 7409, 12303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5221, 7409, 12303 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 5221, 7409, 12303 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 5221, 7409, 12303 is 1.

HCF(5221, 7409, 12303) = 1

HCF of 5221, 7409, 12303 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 5221, 7409, 12303 is 1.

Highest Common Factor of 5221,7409,12303 using Euclid's algorithm

Highest Common Factor of 5221,7409,12303 is 1

Step 1: Since 7409 > 5221, we apply the division lemma to 7409 and 5221, to get

7409 = 5221 x 1 + 2188

Step 2: Since the reminder 5221 ≠ 0, we apply division lemma to 2188 and 5221, to get

5221 = 2188 x 2 + 845

Step 3: We consider the new divisor 2188 and the new remainder 845, and apply the division lemma to get

2188 = 845 x 2 + 498

We consider the new divisor 845 and the new remainder 498,and apply the division lemma to get

845 = 498 x 1 + 347

We consider the new divisor 498 and the new remainder 347,and apply the division lemma to get

498 = 347 x 1 + 151

We consider the new divisor 347 and the new remainder 151,and apply the division lemma to get

347 = 151 x 2 + 45

We consider the new divisor 151 and the new remainder 45,and apply the division lemma to get

151 = 45 x 3 + 16

We consider the new divisor 45 and the new remainder 16,and apply the division lemma to get

45 = 16 x 2 + 13

We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get

16 = 13 x 1 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5221 and 7409 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(45,16) = HCF(151,45) = HCF(347,151) = HCF(498,347) = HCF(845,498) = HCF(2188,845) = HCF(5221,2188) = HCF(7409,5221) .

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

Step 1: Since 12303 > 1, we apply the division lemma to 12303 and 1, to get

12303 = 1 x 12303 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 12303 is 1

Notice that 1 = HCF(12303,1) .

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Frequently Asked Questions on HCF of 5221, 7409, 12303 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 5221, 7409, 12303?

Answer: HCF of 5221, 7409, 12303 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5221, 7409, 12303 using Euclid's Algorithm?

Answer: For arbitrary numbers 5221, 7409, 12303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.