Highest Common Factor of 4499, 5178 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 4499, 5178 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4499, 5178 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 4499, 5178 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 4499, 5178 is 1.

HCF(4499, 5178) = 1

HCF of 4499, 5178 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 4499, 5178 is 1.

Highest Common Factor of 4499,5178 using Euclid's algorithm

Highest Common Factor of 4499,5178 is 1

Step 1: Since 5178 > 4499, we apply the division lemma to 5178 and 4499, to get

5178 = 4499 x 1 + 679

Step 2: Since the reminder 4499 ≠ 0, we apply division lemma to 679 and 4499, to get

4499 = 679 x 6 + 425

Step 3: We consider the new divisor 679 and the new remainder 425, and apply the division lemma to get

679 = 425 x 1 + 254

We consider the new divisor 425 and the new remainder 254,and apply the division lemma to get

425 = 254 x 1 + 171

We consider the new divisor 254 and the new remainder 171,and apply the division lemma to get

254 = 171 x 1 + 83

We consider the new divisor 171 and the new remainder 83,and apply the division lemma to get

171 = 83 x 2 + 5

We consider the new divisor 83 and the new remainder 5,and apply the division lemma to get

83 = 5 x 16 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 4499 and 5178 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(83,5) = HCF(171,83) = HCF(254,171) = HCF(425,254) = HCF(679,425) = HCF(4499,679) = HCF(5178,4499) .

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Frequently Asked Questions on HCF of 4499, 5178 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 4499, 5178?

Answer: HCF of 4499, 5178 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4499, 5178 using Euclid's Algorithm?

Answer: For arbitrary numbers 4499, 5178 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.