Highest Common Factor of 5266, 1847 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 5266, 1847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5266, 1847 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 5266, 1847 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 5266, 1847 is 1.

HCF(5266, 1847) = 1

HCF of 5266, 1847 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 5266, 1847 is 1.

Highest Common Factor of 5266,1847 using Euclid's algorithm

Highest Common Factor of 5266,1847 is 1

Step 1: Since 5266 > 1847, we apply the division lemma to 5266 and 1847, to get

5266 = 1847 x 2 + 1572

Step 2: Since the reminder 1847 ≠ 0, we apply division lemma to 1572 and 1847, to get

1847 = 1572 x 1 + 275

Step 3: We consider the new divisor 1572 and the new remainder 275, and apply the division lemma to get

1572 = 275 x 5 + 197

We consider the new divisor 275 and the new remainder 197,and apply the division lemma to get

275 = 197 x 1 + 78

We consider the new divisor 197 and the new remainder 78,and apply the division lemma to get

197 = 78 x 2 + 41

We consider the new divisor 78 and the new remainder 41,and apply the division lemma to get

78 = 41 x 1 + 37

We consider the new divisor 41 and the new remainder 37,and apply the division lemma to get

41 = 37 x 1 + 4

We consider the new divisor 37 and the new remainder 4,and apply the division lemma to get

37 = 4 x 9 + 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 5266 and 1847 is 1

Notice that 1 = HCF(4,1) = HCF(37,4) = HCF(41,37) = HCF(78,41) = HCF(197,78) = HCF(275,197) = HCF(1572,275) = HCF(1847,1572) = HCF(5266,1847) .

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Frequently Asked Questions on HCF of 5266, 1847 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 5266, 1847?

Answer: HCF of 5266, 1847 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5266, 1847 using Euclid's Algorithm?

Answer: For arbitrary numbers 5266, 1847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.