Highest Common Factor of 5662, 8402, 12845 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 5662, 8402, 12845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5662, 8402, 12845 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 5662, 8402, 12845 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 5662, 8402, 12845 is 1.

HCF(5662, 8402, 12845) = 1

HCF of 5662, 8402, 12845 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 5662, 8402, 12845 is 1.

Highest Common Factor of 5662,8402,12845 using Euclid's algorithm

Highest Common Factor of 5662,8402,12845 is 1

Step 1: Since 8402 > 5662, we apply the division lemma to 8402 and 5662, to get

8402 = 5662 x 1 + 2740

Step 2: Since the reminder 5662 ≠ 0, we apply division lemma to 2740 and 5662, to get

5662 = 2740 x 2 + 182

Step 3: We consider the new divisor 2740 and the new remainder 182, and apply the division lemma to get

2740 = 182 x 15 + 10

We consider the new divisor 182 and the new remainder 10,and apply the division lemma to get

182 = 10 x 18 + 2

We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get

10 = 2 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5662 and 8402 is 2

Notice that 2 = HCF(10,2) = HCF(182,10) = HCF(2740,182) = HCF(5662,2740) = HCF(8402,5662) .

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

Step 1: Since 12845 > 2, we apply the division lemma to 12845 and 2, to get

12845 = 2 x 6422 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 12845 is 1

Notice that 1 = HCF(2,1) = HCF(12845,2) .

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Frequently Asked Questions on HCF of 5662, 8402, 12845 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 5662, 8402, 12845?

Answer: HCF of 5662, 8402, 12845 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5662, 8402, 12845 using Euclid's Algorithm?

Answer: For arbitrary numbers 5662, 8402, 12845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.