Highest Common Factor of 5577, 2588, 24454 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 5577, 2588, 24454 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5577, 2588, 24454 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 5577, 2588, 24454 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 5577, 2588, 24454 is 1.

HCF(5577, 2588, 24454) = 1

HCF of 5577, 2588, 24454 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 5577, 2588, 24454 is 1.

Highest Common Factor of 5577,2588,24454 using Euclid's algorithm

Highest Common Factor of 5577,2588,24454 is 1

Step 1: Since 5577 > 2588, we apply the division lemma to 5577 and 2588, to get

5577 = 2588 x 2 + 401

Step 2: Since the reminder 2588 ≠ 0, we apply division lemma to 401 and 2588, to get

2588 = 401 x 6 + 182

Step 3: We consider the new divisor 401 and the new remainder 182, and apply the division lemma to get

401 = 182 x 2 + 37

We consider the new divisor 182 and the new remainder 37,and apply the division lemma to get

182 = 37 x 4 + 34

We consider the new divisor 37 and the new remainder 34,and apply the division lemma to get

37 = 34 x 1 + 3

We consider the new divisor 34 and the new remainder 3,and apply the division lemma to get

34 = 3 x 11 + 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 5577 and 2588 is 1

Notice that 1 = HCF(3,1) = HCF(34,3) = HCF(37,34) = HCF(182,37) = HCF(401,182) = HCF(2588,401) = HCF(5577,2588) .

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

Step 1: Since 24454 > 1, we apply the division lemma to 24454 and 1, to get

24454 = 1 x 24454 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 24454 is 1

Notice that 1 = HCF(24454,1) .

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Frequently Asked Questions on HCF of 5577, 2588, 24454 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 5577, 2588, 24454?

Answer: HCF of 5577, 2588, 24454 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5577, 2588, 24454 using Euclid's Algorithm?

Answer: For arbitrary numbers 5577, 2588, 24454 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.