Highest Common Factor of 289, 742, 293 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 289, 742, 293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 289, 742, 293 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 289, 742, 293 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 289, 742, 293 is 1.

HCF(289, 742, 293) = 1

HCF of 289, 742, 293 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 289, 742, 293 is 1.

Highest Common Factor of 289,742,293 using Euclid's algorithm

Highest Common Factor of 289,742,293 is 1

Step 1: Since 742 > 289, we apply the division lemma to 742 and 289, to get

742 = 289 x 2 + 164

Step 2: Since the reminder 289 ≠ 0, we apply division lemma to 164 and 289, to get

289 = 164 x 1 + 125

Step 3: We consider the new divisor 164 and the new remainder 125, and apply the division lemma to get

164 = 125 x 1 + 39

We consider the new divisor 125 and the new remainder 39,and apply the division lemma to get

125 = 39 x 3 + 8

We consider the new divisor 39 and the new remainder 8,and apply the division lemma to get

39 = 8 x 4 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 289 and 742 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(39,8) = HCF(125,39) = HCF(164,125) = HCF(289,164) = HCF(742,289) .

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

Step 1: Since 293 > 1, we apply the division lemma to 293 and 1, to get

293 = 1 x 293 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 293 is 1

Notice that 1 = HCF(293,1) .

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Frequently Asked Questions on HCF of 289, 742, 293 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 289, 742, 293?

Answer: HCF of 289, 742, 293 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 289, 742, 293 using Euclid's Algorithm?

Answer: For arbitrary numbers 289, 742, 293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.