Highest Common Factor of 3332, 7427, 28870 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 3332, 7427, 28870 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3332, 7427, 28870 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 3332, 7427, 28870 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 3332, 7427, 28870 is 1.

HCF(3332, 7427, 28870) = 1

HCF of 3332, 7427, 28870 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 3332, 7427, 28870 is 1.

Highest Common Factor of 3332,7427,28870 using Euclid's algorithm

Highest Common Factor of 3332,7427,28870 is 1

Step 1: Since 7427 > 3332, we apply the division lemma to 7427 and 3332, to get

7427 = 3332 x 2 + 763

Step 2: Since the reminder 3332 ≠ 0, we apply division lemma to 763 and 3332, to get

3332 = 763 x 4 + 280

Step 3: We consider the new divisor 763 and the new remainder 280, and apply the division lemma to get

763 = 280 x 2 + 203

We consider the new divisor 280 and the new remainder 203,and apply the division lemma to get

280 = 203 x 1 + 77

We consider the new divisor 203 and the new remainder 77,and apply the division lemma to get

203 = 77 x 2 + 49

We consider the new divisor 77 and the new remainder 49,and apply the division lemma to get

77 = 49 x 1 + 28

We consider the new divisor 49 and the new remainder 28,and apply the division lemma to get

49 = 28 x 1 + 21

We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get

28 = 21 x 1 + 7

We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get

21 = 7 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 3332 and 7427 is 7

Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(49,28) = HCF(77,49) = HCF(203,77) = HCF(280,203) = HCF(763,280) = HCF(3332,763) = HCF(7427,3332) .

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

Step 1: Since 28870 > 7, we apply the division lemma to 28870 and 7, to get

28870 = 7 x 4124 + 2

Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 2 and 7, to get

7 = 2 x 3 + 1

Step 3: 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 7 and 28870 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(28870,7) .

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Frequently Asked Questions on HCF of 3332, 7427, 28870 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 3332, 7427, 28870?

Answer: HCF of 3332, 7427, 28870 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3332, 7427, 28870 using Euclid's Algorithm?

Answer: For arbitrary numbers 3332, 7427, 28870 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.