Highest Common Factor of 5041, 3494 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 5041, 3494 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5041, 3494 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 5041, 3494 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 5041, 3494 is 1.

HCF(5041, 3494) = 1

HCF of 5041, 3494 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 5041, 3494 is 1.

Highest Common Factor of 5041,3494 using Euclid's algorithm

Highest Common Factor of 5041,3494 is 1

Step 1: Since 5041 > 3494, we apply the division lemma to 5041 and 3494, to get

5041 = 3494 x 1 + 1547

Step 2: Since the reminder 3494 ≠ 0, we apply division lemma to 1547 and 3494, to get

3494 = 1547 x 2 + 400

Step 3: We consider the new divisor 1547 and the new remainder 400, and apply the division lemma to get

1547 = 400 x 3 + 347

We consider the new divisor 400 and the new remainder 347,and apply the division lemma to get

400 = 347 x 1 + 53

We consider the new divisor 347 and the new remainder 53,and apply the division lemma to get

347 = 53 x 6 + 29

We consider the new divisor 53 and the new remainder 29,and apply the division lemma to get

53 = 29 x 1 + 24

We consider the new divisor 29 and the new remainder 24,and apply the division lemma to get

29 = 24 x 1 + 5

We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get

24 = 5 x 4 + 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 5041 and 3494 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(29,24) = HCF(53,29) = HCF(347,53) = HCF(400,347) = HCF(1547,400) = HCF(3494,1547) = HCF(5041,3494) .

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Frequently Asked Questions on HCF of 5041, 3494 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 5041, 3494?

Answer: HCF of 5041, 3494 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5041, 3494 using Euclid's Algorithm?

Answer: For arbitrary numbers 5041, 3494 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.