Highest Common Factor of 284, 743, 95 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 284, 743, 95 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 284, 743, 95 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 284, 743, 95 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 284, 743, 95 is 1.

HCF(284, 743, 95) = 1

HCF of 284, 743, 95 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 284, 743, 95 is 1.

Highest Common Factor of 284,743,95 using Euclid's algorithm

Highest Common Factor of 284,743,95 is 1

Step 1: Since 743 > 284, we apply the division lemma to 743 and 284, to get

743 = 284 x 2 + 175

Step 2: Since the reminder 284 ≠ 0, we apply division lemma to 175 and 284, to get

284 = 175 x 1 + 109

Step 3: We consider the new divisor 175 and the new remainder 109, and apply the division lemma to get

175 = 109 x 1 + 66

We consider the new divisor 109 and the new remainder 66,and apply the division lemma to get

109 = 66 x 1 + 43

We consider the new divisor 66 and the new remainder 43,and apply the division lemma to get

66 = 43 x 1 + 23

We consider the new divisor 43 and the new remainder 23,and apply the division lemma to get

43 = 23 x 1 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 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 284 and 743 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(43,23) = HCF(66,43) = HCF(109,66) = HCF(175,109) = HCF(284,175) = HCF(743,284) .

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

Step 1: Since 95 > 1, we apply the division lemma to 95 and 1, to get

95 = 1 x 95 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95 is 1

Notice that 1 = HCF(95,1) .

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Frequently Asked Questions on HCF of 284, 743, 95 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 284, 743, 95?

Answer: HCF of 284, 743, 95 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 284, 743, 95 using Euclid's Algorithm?

Answer: For arbitrary numbers 284, 743, 95 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.