Highest Common Factor of 5234, 3347 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 5234, 3347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5234, 3347 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 5234, 3347 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 5234, 3347 is 1.

HCF(5234, 3347) = 1

HCF of 5234, 3347 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 5234, 3347 is 1.

Highest Common Factor of 5234,3347 using Euclid's algorithm

Highest Common Factor of 5234,3347 is 1

Step 1: Since 5234 > 3347, we apply the division lemma to 5234 and 3347, to get

5234 = 3347 x 1 + 1887

Step 2: Since the reminder 3347 ≠ 0, we apply division lemma to 1887 and 3347, to get

3347 = 1887 x 1 + 1460

Step 3: We consider the new divisor 1887 and the new remainder 1460, and apply the division lemma to get

1887 = 1460 x 1 + 427

We consider the new divisor 1460 and the new remainder 427,and apply the division lemma to get

1460 = 427 x 3 + 179

We consider the new divisor 427 and the new remainder 179,and apply the division lemma to get

427 = 179 x 2 + 69

We consider the new divisor 179 and the new remainder 69,and apply the division lemma to get

179 = 69 x 2 + 41

We consider the new divisor 69 and the new remainder 41,and apply the division lemma to get

69 = 41 x 1 + 28

We consider the new divisor 41 and the new remainder 28,and apply the division lemma to get

41 = 28 x 1 + 13

We consider the new divisor 28 and the new remainder 13,and apply the division lemma to get

28 = 13 x 2 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 5234 and 3347 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(28,13) = HCF(41,28) = HCF(69,41) = HCF(179,69) = HCF(427,179) = HCF(1460,427) = HCF(1887,1460) = HCF(3347,1887) = HCF(5234,3347) .

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Frequently Asked Questions on HCF of 5234, 3347 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 5234, 3347?

Answer: HCF of 5234, 3347 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5234, 3347 using Euclid's Algorithm?

Answer: For arbitrary numbers 5234, 3347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.