Highest Common Factor of 5189, 8434 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 5189, 8434 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5189, 8434 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 5189, 8434 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 5189, 8434 is 1.

HCF(5189, 8434) = 1

HCF of 5189, 8434 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 5189, 8434 is 1.

Highest Common Factor of 5189,8434 using Euclid's algorithm

Highest Common Factor of 5189,8434 is 1

Step 1: Since 8434 > 5189, we apply the division lemma to 8434 and 5189, to get

8434 = 5189 x 1 + 3245

Step 2: Since the reminder 5189 ≠ 0, we apply division lemma to 3245 and 5189, to get

5189 = 3245 x 1 + 1944

Step 3: We consider the new divisor 3245 and the new remainder 1944, and apply the division lemma to get

3245 = 1944 x 1 + 1301

We consider the new divisor 1944 and the new remainder 1301,and apply the division lemma to get

1944 = 1301 x 1 + 643

We consider the new divisor 1301 and the new remainder 643,and apply the division lemma to get

1301 = 643 x 2 + 15

We consider the new divisor 643 and the new remainder 15,and apply the division lemma to get

643 = 15 x 42 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 5189 and 8434 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(643,15) = HCF(1301,643) = HCF(1944,1301) = HCF(3245,1944) = HCF(5189,3245) = HCF(8434,5189) .

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Frequently Asked Questions on HCF of 5189, 8434 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 5189, 8434?

Answer: HCF of 5189, 8434 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5189, 8434 using Euclid's Algorithm?

Answer: For arbitrary numbers 5189, 8434 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.