Highest Common Factor of 242, 619, 585, 13 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 242, 619, 585, 13 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 242, 619, 585, 13 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 242, 619, 585, 13 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 242, 619, 585, 13 is 1.

HCF(242, 619, 585, 13) = 1

HCF of 242, 619, 585, 13 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 242, 619, 585, 13 is 1.

Highest Common Factor of 242,619,585,13 using Euclid's algorithm

Highest Common Factor of 242,619,585,13 is 1

Step 1: Since 619 > 242, we apply the division lemma to 619 and 242, to get

619 = 242 x 2 + 135

Step 2: Since the reminder 242 ≠ 0, we apply division lemma to 135 and 242, to get

242 = 135 x 1 + 107

Step 3: We consider the new divisor 135 and the new remainder 107, and apply the division lemma to get

135 = 107 x 1 + 28

We consider the new divisor 107 and the new remainder 28,and apply the division lemma to get

107 = 28 x 3 + 23

We consider the new divisor 28 and the new remainder 23,and apply the division lemma to get

28 = 23 x 1 + 5

We consider the new divisor 23 and the new remainder 5,and apply the division lemma to get

23 = 5 x 4 + 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 242 and 619 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(23,5) = HCF(28,23) = HCF(107,28) = HCF(135,107) = HCF(242,135) = HCF(619,242) .

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

Step 1: Since 585 > 1, we apply the division lemma to 585 and 1, to get

585 = 1 x 585 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 585 is 1

Notice that 1 = HCF(585,1) .

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

Step 1: Since 13 > 1, we apply the division lemma to 13 and 1, to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13 is 1

Notice that 1 = HCF(13,1) .

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Frequently Asked Questions on HCF of 242, 619, 585, 13 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 242, 619, 585, 13?

Answer: HCF of 242, 619, 585, 13 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 242, 619, 585, 13 using Euclid's Algorithm?

Answer: For arbitrary numbers 242, 619, 585, 13 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.