Highest Common Factor of 7306, 1867 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 7306, 1867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7306, 1867 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 7306, 1867 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 7306, 1867 is 1.

HCF(7306, 1867) = 1

HCF of 7306, 1867 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 7306, 1867 is 1.

Highest Common Factor of 7306,1867 using Euclid's algorithm

Highest Common Factor of 7306,1867 is 1

Step 1: Since 7306 > 1867, we apply the division lemma to 7306 and 1867, to get

7306 = 1867 x 3 + 1705

Step 2: Since the reminder 1867 ≠ 0, we apply division lemma to 1705 and 1867, to get

1867 = 1705 x 1 + 162

Step 3: We consider the new divisor 1705 and the new remainder 162, and apply the division lemma to get

1705 = 162 x 10 + 85

We consider the new divisor 162 and the new remainder 85,and apply the division lemma to get

162 = 85 x 1 + 77

We consider the new divisor 85 and the new remainder 77,and apply the division lemma to get

85 = 77 x 1 + 8

We consider the new divisor 77 and the new remainder 8,and apply the division lemma to get

77 = 8 x 9 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 7306 and 1867 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(77,8) = HCF(85,77) = HCF(162,85) = HCF(1705,162) = HCF(1867,1705) = HCF(7306,1867) .

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Frequently Asked Questions on HCF of 7306, 1867 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 7306, 1867?

Answer: HCF of 7306, 1867 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7306, 1867 using Euclid's Algorithm?

Answer: For arbitrary numbers 7306, 1867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.