Highest Common Factor of 249, 389, 198, 582 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 249, 389, 198, 582 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 249, 389, 198, 582 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 249, 389, 198, 582 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 249, 389, 198, 582 is 1.

HCF(249, 389, 198, 582) = 1

HCF of 249, 389, 198, 582 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 249, 389, 198, 582 is 1.

Highest Common Factor of 249,389,198,582 using Euclid's algorithm

Highest Common Factor of 249,389,198,582 is 1

Step 1: Since 389 > 249, we apply the division lemma to 389 and 249, to get

389 = 249 x 1 + 140

Step 2: Since the reminder 249 ≠ 0, we apply division lemma to 140 and 249, to get

249 = 140 x 1 + 109

Step 3: We consider the new divisor 140 and the new remainder 109, and apply the division lemma to get

140 = 109 x 1 + 31

We consider the new divisor 109 and the new remainder 31,and apply the division lemma to get

109 = 31 x 3 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 249 and 389 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(109,31) = HCF(140,109) = HCF(249,140) = HCF(389,249) .

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

Step 1: Since 198 > 1, we apply the division lemma to 198 and 1, to get

198 = 1 x 198 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 198 is 1

Notice that 1 = HCF(198,1) .

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

Step 1: Since 582 > 1, we apply the division lemma to 582 and 1, to get

582 = 1 x 582 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 582 is 1

Notice that 1 = HCF(582,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 249, 389, 198, 582 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 249, 389, 198, 582?

Answer: HCF of 249, 389, 198, 582 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 249, 389, 198, 582 using Euclid's Algorithm?

Answer: For arbitrary numbers 249, 389, 198, 582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.