Highest Common Factor of 7062, 4817, 10446 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 7062, 4817, 10446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7062, 4817, 10446 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 7062, 4817, 10446 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 7062, 4817, 10446 is 1.

HCF(7062, 4817, 10446) = 1

HCF of 7062, 4817, 10446 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 7062, 4817, 10446 is 1.

Highest Common Factor of 7062,4817,10446 using Euclid's algorithm

Highest Common Factor of 7062,4817,10446 is 1

Step 1: Since 7062 > 4817, we apply the division lemma to 7062 and 4817, to get

7062 = 4817 x 1 + 2245

Step 2: Since the reminder 4817 ≠ 0, we apply division lemma to 2245 and 4817, to get

4817 = 2245 x 2 + 327

Step 3: We consider the new divisor 2245 and the new remainder 327, and apply the division lemma to get

2245 = 327 x 6 + 283

We consider the new divisor 327 and the new remainder 283,and apply the division lemma to get

327 = 283 x 1 + 44

We consider the new divisor 283 and the new remainder 44,and apply the division lemma to get

283 = 44 x 6 + 19

We consider the new divisor 44 and the new remainder 19,and apply the division lemma to get

44 = 19 x 2 + 6

We consider the new divisor 19 and the new remainder 6,and apply the division lemma to get

19 = 6 x 3 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7062 and 4817 is 1

Notice that 1 = HCF(6,1) = HCF(19,6) = HCF(44,19) = HCF(283,44) = HCF(327,283) = HCF(2245,327) = HCF(4817,2245) = HCF(7062,4817) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 10446 > 1, we apply the division lemma to 10446 and 1, to get

10446 = 1 x 10446 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 10446 is 1

Notice that 1 = HCF(10446,1) .

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Frequently Asked Questions on HCF of 7062, 4817, 10446 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 7062, 4817, 10446?

Answer: HCF of 7062, 4817, 10446 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7062, 4817, 10446 using Euclid's Algorithm?

Answer: For arbitrary numbers 7062, 4817, 10446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.