Highest Common Factor of 5334, 4198, 34499 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, 4198, 34499 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5334, 4198, 34499 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, 4198, 34499 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, 4198, 34499 is 1.

HCF(5334, 4198, 34499) = 1

HCF of 5334, 4198, 34499 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, 4198, 34499 is 1.

Highest Common Factor of 5334,4198,34499 using Euclid's algorithm

Highest Common Factor of 5334,4198,34499 is 1

Step 1: Since 5334 > 4198, we apply the division lemma to 5334 and 4198, to get

5334 = 4198 x 1 + 1136

Step 2: Since the reminder 4198 ≠ 0, we apply division lemma to 1136 and 4198, to get

4198 = 1136 x 3 + 790

Step 3: We consider the new divisor 1136 and the new remainder 790, and apply the division lemma to get

1136 = 790 x 1 + 346

We consider the new divisor 790 and the new remainder 346,and apply the division lemma to get

790 = 346 x 2 + 98

We consider the new divisor 346 and the new remainder 98,and apply the division lemma to get

346 = 98 x 3 + 52

We consider the new divisor 98 and the new remainder 52,and apply the division lemma to get

98 = 52 x 1 + 46

We consider the new divisor 52 and the new remainder 46,and apply the division lemma to get

52 = 46 x 1 + 6

We consider the new divisor 46 and the new remainder 6,and apply the division lemma to get

46 = 6 x 7 + 4

We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get

6 = 4 x 1 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5334 and 4198 is 2

Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(46,6) = HCF(52,46) = HCF(98,52) = HCF(346,98) = HCF(790,346) = HCF(1136,790) = HCF(4198,1136) = HCF(5334,4198) .

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

Step 1: Since 34499 > 2, we apply the division lemma to 34499 and 2, to get

34499 = 2 x 17249 + 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 34499 is 1

Notice that 1 = HCF(2,1) = HCF(34499,2) .

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Frequently Asked Questions on HCF of 5334, 4198, 34499 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, 4198, 34499?

Answer: HCF of 5334, 4198, 34499 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5334, 4198, 34499 using Euclid's Algorithm?

Answer: For arbitrary numbers 5334, 4198, 34499 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.