Highest Common Factor of 5579, 3703, 43388 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 5579, 3703, 43388 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5579, 3703, 43388 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 5579, 3703, 43388 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 5579, 3703, 43388 is 1.

HCF(5579, 3703, 43388) = 1

HCF of 5579, 3703, 43388 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 5579, 3703, 43388 is 1.

Highest Common Factor of 5579,3703,43388 using Euclid's algorithm

Highest Common Factor of 5579,3703,43388 is 1

Step 1: Since 5579 > 3703, we apply the division lemma to 5579 and 3703, to get

5579 = 3703 x 1 + 1876

Step 2: Since the reminder 3703 ≠ 0, we apply division lemma to 1876 and 3703, to get

3703 = 1876 x 1 + 1827

Step 3: We consider the new divisor 1876 and the new remainder 1827, and apply the division lemma to get

1876 = 1827 x 1 + 49

We consider the new divisor 1827 and the new remainder 49,and apply the division lemma to get

1827 = 49 x 37 + 14

We consider the new divisor 49 and the new remainder 14,and apply the division lemma to get

49 = 14 x 3 + 7

We consider the new divisor 14 and the new remainder 7,and apply the division lemma to get

14 = 7 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 5579 and 3703 is 7

Notice that 7 = HCF(14,7) = HCF(49,14) = HCF(1827,49) = HCF(1876,1827) = HCF(3703,1876) = HCF(5579,3703) .

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

Step 1: Since 43388 > 7, we apply the division lemma to 43388 and 7, to get

43388 = 7 x 6198 + 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 43388 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(43388,7) .

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Frequently Asked Questions on HCF of 5579, 3703, 43388 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 5579, 3703, 43388?

Answer: HCF of 5579, 3703, 43388 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5579, 3703, 43388 using Euclid's Algorithm?

Answer: For arbitrary numbers 5579, 3703, 43388 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.