Highest Common Factor of 793, 582, 300 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 793, 582, 300 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 793, 582, 300 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 793, 582, 300 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 793, 582, 300 is 1.

HCF(793, 582, 300) = 1

HCF of 793, 582, 300 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 793, 582, 300 is 1.

Highest Common Factor of 793,582,300 using Euclid's algorithm

Highest Common Factor of 793,582,300 is 1

Step 1: Since 793 > 582, we apply the division lemma to 793 and 582, to get

793 = 582 x 1 + 211

Step 2: Since the reminder 582 ≠ 0, we apply division lemma to 211 and 582, to get

582 = 211 x 2 + 160

Step 3: We consider the new divisor 211 and the new remainder 160, and apply the division lemma to get

211 = 160 x 1 + 51

We consider the new divisor 160 and the new remainder 51,and apply the division lemma to get

160 = 51 x 3 + 7

We consider the new divisor 51 and the new remainder 7,and apply the division lemma to get

51 = 7 x 7 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 793 and 582 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(51,7) = HCF(160,51) = HCF(211,160) = HCF(582,211) = HCF(793,582) .

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

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

300 = 1 x 300 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 300 is 1

Notice that 1 = HCF(300,1) .

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Frequently Asked Questions on HCF of 793, 582, 300 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 793, 582, 300?

Answer: HCF of 793, 582, 300 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 793, 582, 300 using Euclid's Algorithm?

Answer: For arbitrary numbers 793, 582, 300 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.