Highest Common Factor of 5419, 8298 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 5419, 8298 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5419, 8298 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 5419, 8298 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 5419, 8298 is 1.

HCF(5419, 8298) = 1

HCF of 5419, 8298 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 5419, 8298 is 1.

Highest Common Factor of 5419,8298 using Euclid's algorithm

Highest Common Factor of 5419,8298 is 1

Step 1: Since 8298 > 5419, we apply the division lemma to 8298 and 5419, to get

8298 = 5419 x 1 + 2879

Step 2: Since the reminder 5419 ≠ 0, we apply division lemma to 2879 and 5419, to get

5419 = 2879 x 1 + 2540

Step 3: We consider the new divisor 2879 and the new remainder 2540, and apply the division lemma to get

2879 = 2540 x 1 + 339

We consider the new divisor 2540 and the new remainder 339,and apply the division lemma to get

2540 = 339 x 7 + 167

We consider the new divisor 339 and the new remainder 167,and apply the division lemma to get

339 = 167 x 2 + 5

We consider the new divisor 167 and the new remainder 5,and apply the division lemma to get

167 = 5 x 33 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5419 and 8298 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(167,5) = HCF(339,167) = HCF(2540,339) = HCF(2879,2540) = HCF(5419,2879) = HCF(8298,5419) .

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Frequently Asked Questions on HCF of 5419, 8298 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 5419, 8298?

Answer: HCF of 5419, 8298 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5419, 8298 using Euclid's Algorithm?

Answer: For arbitrary numbers 5419, 8298 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.