Highest Common Factor of 8880, 3523 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 8880, 3523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8880, 3523 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 8880, 3523 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 8880, 3523 is 1.

HCF(8880, 3523) = 1

HCF of 8880, 3523 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 8880, 3523 is 1.

Highest Common Factor of 8880,3523 using Euclid's algorithm

Highest Common Factor of 8880,3523 is 1

Step 1: Since 8880 > 3523, we apply the division lemma to 8880 and 3523, to get

8880 = 3523 x 2 + 1834

Step 2: Since the reminder 3523 ≠ 0, we apply division lemma to 1834 and 3523, to get

3523 = 1834 x 1 + 1689

Step 3: We consider the new divisor 1834 and the new remainder 1689, and apply the division lemma to get

1834 = 1689 x 1 + 145

We consider the new divisor 1689 and the new remainder 145,and apply the division lemma to get

1689 = 145 x 11 + 94

We consider the new divisor 145 and the new remainder 94,and apply the division lemma to get

145 = 94 x 1 + 51

We consider the new divisor 94 and the new remainder 51,and apply the division lemma to get

94 = 51 x 1 + 43

We consider the new divisor 51 and the new remainder 43,and apply the division lemma to get

51 = 43 x 1 + 8

We consider the new divisor 43 and the new remainder 8,and apply the division lemma to get

43 = 8 x 5 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 8880 and 3523 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(43,8) = HCF(51,43) = HCF(94,51) = HCF(145,94) = HCF(1689,145) = HCF(1834,1689) = HCF(3523,1834) = HCF(8880,3523) .

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Frequently Asked Questions on HCF of 8880, 3523 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 8880, 3523?

Answer: HCF of 8880, 3523 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8880, 3523 using Euclid's Algorithm?

Answer: For arbitrary numbers 8880, 3523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.