Highest Common Factor of 5334, 8674, 36483 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 5334, 8674, 36483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5334, 8674, 36483 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 5334, 8674, 36483 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 5334, 8674, 36483 is 1.

HCF(5334, 8674, 36483) = 1

HCF of 5334, 8674, 36483 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 5334, 8674, 36483 is 1.

Highest Common Factor of 5334,8674,36483 using Euclid's algorithm

Highest Common Factor of 5334,8674,36483 is 1

Step 1: Since 8674 > 5334, we apply the division lemma to 8674 and 5334, to get

8674 = 5334 x 1 + 3340

Step 2: Since the reminder 5334 ≠ 0, we apply division lemma to 3340 and 5334, to get

5334 = 3340 x 1 + 1994

Step 3: We consider the new divisor 3340 and the new remainder 1994, and apply the division lemma to get

3340 = 1994 x 1 + 1346

We consider the new divisor 1994 and the new remainder 1346,and apply the division lemma to get

1994 = 1346 x 1 + 648

We consider the new divisor 1346 and the new remainder 648,and apply the division lemma to get

1346 = 648 x 2 + 50

We consider the new divisor 648 and the new remainder 50,and apply the division lemma to get

648 = 50 x 12 + 48

We consider the new divisor 50 and the new remainder 48,and apply the division lemma to get

50 = 48 x 1 + 2

We consider the new divisor 48 and the new remainder 2,and apply the division lemma to get

48 = 2 x 24 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5334 and 8674 is 2

Notice that 2 = HCF(48,2) = HCF(50,48) = HCF(648,50) = HCF(1346,648) = HCF(1994,1346) = HCF(3340,1994) = HCF(5334,3340) = HCF(8674,5334) .

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

Step 1: Since 36483 > 2, we apply the division lemma to 36483 and 2, to get

36483 = 2 x 18241 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 36483 is 1

Notice that 1 = HCF(2,1) = HCF(36483,2) .

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Frequently Asked Questions on HCF of 5334, 8674, 36483 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 5334, 8674, 36483?

Answer: HCF of 5334, 8674, 36483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5334, 8674, 36483 using Euclid's Algorithm?

Answer: For arbitrary numbers 5334, 8674, 36483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.