Highest Common Factor of 7306, 6031 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, 6031 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7306, 6031 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, 6031 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, 6031 is 1.

HCF(7306, 6031) = 1

HCF of 7306, 6031 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, 6031 is 1.

Highest Common Factor of 7306,6031 using Euclid's algorithm

Highest Common Factor of 7306,6031 is 1

Step 1: Since 7306 > 6031, we apply the division lemma to 7306 and 6031, to get

7306 = 6031 x 1 + 1275

Step 2: Since the reminder 6031 ≠ 0, we apply division lemma to 1275 and 6031, to get

6031 = 1275 x 4 + 931

Step 3: We consider the new divisor 1275 and the new remainder 931, and apply the division lemma to get

1275 = 931 x 1 + 344

We consider the new divisor 931 and the new remainder 344,and apply the division lemma to get

931 = 344 x 2 + 243

We consider the new divisor 344 and the new remainder 243,and apply the division lemma to get

344 = 243 x 1 + 101

We consider the new divisor 243 and the new remainder 101,and apply the division lemma to get

243 = 101 x 2 + 41

We consider the new divisor 101 and the new remainder 41,and apply the division lemma to get

101 = 41 x 2 + 19

We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get

41 = 19 x 2 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7306 and 6031 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(101,41) = HCF(243,101) = HCF(344,243) = HCF(931,344) = HCF(1275,931) = HCF(6031,1275) = HCF(7306,6031) .

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Frequently Asked Questions on HCF of 7306, 6031 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, 6031?

Answer: HCF of 7306, 6031 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7306, 6031 using Euclid's Algorithm?

Answer: For arbitrary numbers 7306, 6031 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.