Highest Common Factor of 300, 793, 219 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 300, 793, 219 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 300, 793, 219 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 300, 793, 219 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 300, 793, 219 is 1.

HCF(300, 793, 219) = 1

HCF of 300, 793, 219 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 300, 793, 219 is 1.

Highest Common Factor of 300,793,219 using Euclid's algorithm

Highest Common Factor of 300,793,219 is 1

Step 1: Since 793 > 300, we apply the division lemma to 793 and 300, to get

793 = 300 x 2 + 193

Step 2: Since the reminder 300 ≠ 0, we apply division lemma to 193 and 300, to get

300 = 193 x 1 + 107

Step 3: We consider the new divisor 193 and the new remainder 107, and apply the division lemma to get

193 = 107 x 1 + 86

We consider the new divisor 107 and the new remainder 86,and apply the division lemma to get

107 = 86 x 1 + 21

We consider the new divisor 86 and the new remainder 21,and apply the division lemma to get

86 = 21 x 4 + 2

We consider the new divisor 21 and the new remainder 2,and apply the division lemma to get

21 = 2 x 10 + 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 300 and 793 is 1

Notice that 1 = HCF(2,1) = HCF(21,2) = HCF(86,21) = HCF(107,86) = HCF(193,107) = HCF(300,193) = HCF(793,300) .

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

Step 1: Since 219 > 1, we apply the division lemma to 219 and 1, to get

219 = 1 x 219 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 219 is 1

Notice that 1 = HCF(219,1) .

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Frequently Asked Questions on HCF of 300, 793, 219 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 300, 793, 219?

Answer: HCF of 300, 793, 219 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 300, 793, 219 using Euclid's Algorithm?

Answer: For arbitrary numbers 300, 793, 219 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.