Highest Common Factor of 5075, 1349 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 5075, 1349 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5075, 1349 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 5075, 1349 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 5075, 1349 is 1.

HCF(5075, 1349) = 1

HCF of 5075, 1349 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 5075, 1349 is 1.

Highest Common Factor of 5075,1349 using Euclid's algorithm

Highest Common Factor of 5075,1349 is 1

Step 1: Since 5075 > 1349, we apply the division lemma to 5075 and 1349, to get

5075 = 1349 x 3 + 1028

Step 2: Since the reminder 1349 ≠ 0, we apply division lemma to 1028 and 1349, to get

1349 = 1028 x 1 + 321

Step 3: We consider the new divisor 1028 and the new remainder 321, and apply the division lemma to get

1028 = 321 x 3 + 65

We consider the new divisor 321 and the new remainder 65,and apply the division lemma to get

321 = 65 x 4 + 61

We consider the new divisor 65 and the new remainder 61,and apply the division lemma to get

65 = 61 x 1 + 4

We consider the new divisor 61 and the new remainder 4,and apply the division lemma to get

61 = 4 x 15 + 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 5075 and 1349 is 1

Notice that 1 = HCF(4,1) = HCF(61,4) = HCF(65,61) = HCF(321,65) = HCF(1028,321) = HCF(1349,1028) = HCF(5075,1349) .

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Frequently Asked Questions on HCF of 5075, 1349 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 5075, 1349?

Answer: HCF of 5075, 1349 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5075, 1349 using Euclid's Algorithm?

Answer: For arbitrary numbers 5075, 1349 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.