Highest Common Factor of 249, 181, 320 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, 181, 320 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 249, 181, 320 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, 181, 320 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, 181, 320 is 1.

HCF(249, 181, 320) = 1

HCF of 249, 181, 320 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 249, 181, 320 is 1.

Highest Common Factor of 249,181,320 using Euclid's algorithm

Highest Common Factor of 249,181,320 is 1

Step 1: Since 249 > 181, we apply the division lemma to 249 and 181, to get

249 = 181 x 1 + 68

Step 2: Since the reminder 181 ≠ 0, we apply division lemma to 68 and 181, to get

181 = 68 x 2 + 45

Step 3: We consider the new divisor 68 and the new remainder 45, and apply the division lemma to get

68 = 45 x 1 + 23

We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get

45 = 23 x 1 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 249 and 181 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(68,45) = HCF(181,68) = HCF(249,181) .

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

Step 1: Since 320 > 1, we apply the division lemma to 320 and 1, to get

320 = 1 x 320 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 320 is 1

Notice that 1 = HCF(320,1) .

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Frequently Asked Questions on HCF of 249, 181, 320 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, 181, 320?

Answer: HCF of 249, 181, 320 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 249, 181, 320 using Euclid's Algorithm?

Answer: For arbitrary numbers 249, 181, 320 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.