Highest Common Factor of 619, 800, 743, 347 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 619, 800, 743, 347 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 619, 800, 743, 347 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 619, 800, 743, 347 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 619, 800, 743, 347 is 1.

HCF(619, 800, 743, 347) = 1

HCF of 619, 800, 743, 347 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 619, 800, 743, 347 is 1.

Highest Common Factor of 619,800,743,347 using Euclid's algorithm

Highest Common Factor of 619,800,743,347 is 1

Step 1: Since 800 > 619, we apply the division lemma to 800 and 619, to get

800 = 619 x 1 + 181

Step 2: Since the reminder 619 ≠ 0, we apply division lemma to 181 and 619, to get

619 = 181 x 3 + 76

Step 3: We consider the new divisor 181 and the new remainder 76, and apply the division lemma to get

181 = 76 x 2 + 29

We consider the new divisor 76 and the new remainder 29,and apply the division lemma to get

76 = 29 x 2 + 18

We consider the new divisor 29 and the new remainder 18,and apply the division lemma to get

29 = 18 x 1 + 11

We consider the new divisor 18 and the new remainder 11,and apply the division lemma to get

18 = 11 x 1 + 7

We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get

11 = 7 x 1 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 619 and 800 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(18,11) = HCF(29,18) = HCF(76,29) = HCF(181,76) = HCF(619,181) = HCF(800,619) .

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

Step 1: Since 743 > 1, we apply the division lemma to 743 and 1, to get

743 = 1 x 743 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 743 is 1

Notice that 1 = HCF(743,1) .

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

Step 1: Since 347 > 1, we apply the division lemma to 347 and 1, to get

347 = 1 x 347 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 347 is 1

Notice that 1 = HCF(347,1) .

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Frequently Asked Questions on HCF of 619, 800, 743, 347 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 619, 800, 743, 347?

Answer: HCF of 619, 800, 743, 347 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 619, 800, 743, 347 using Euclid's Algorithm?

Answer: For arbitrary numbers 619, 800, 743, 347 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.