Highest Common Factor of 4409, 5559, 50587 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 4409, 5559, 50587 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4409, 5559, 50587 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 4409, 5559, 50587 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 4409, 5559, 50587 is 1.

HCF(4409, 5559, 50587) = 1

HCF of 4409, 5559, 50587 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 4409, 5559, 50587 is 1.

Highest Common Factor of 4409,5559,50587 using Euclid's algorithm

Highest Common Factor of 4409,5559,50587 is 1

Step 1: Since 5559 > 4409, we apply the division lemma to 5559 and 4409, to get

5559 = 4409 x 1 + 1150

Step 2: Since the reminder 4409 ≠ 0, we apply division lemma to 1150 and 4409, to get

4409 = 1150 x 3 + 959

Step 3: We consider the new divisor 1150 and the new remainder 959, and apply the division lemma to get

1150 = 959 x 1 + 191

We consider the new divisor 959 and the new remainder 191,and apply the division lemma to get

959 = 191 x 5 + 4

We consider the new divisor 191 and the new remainder 4,and apply the division lemma to get

191 = 4 x 47 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4409 and 5559 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(191,4) = HCF(959,191) = HCF(1150,959) = HCF(4409,1150) = HCF(5559,4409) .

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

Step 1: Since 50587 > 1, we apply the division lemma to 50587 and 1, to get

50587 = 1 x 50587 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 50587 is 1

Notice that 1 = HCF(50587,1) .

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Frequently Asked Questions on HCF of 4409, 5559, 50587 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 4409, 5559, 50587?

Answer: HCF of 4409, 5559, 50587 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4409, 5559, 50587 using Euclid's Algorithm?

Answer: For arbitrary numbers 4409, 5559, 50587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.