Highest Common Factor of 743, 460, 81, 542 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 743, 460, 81, 542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 743, 460, 81, 542 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 743, 460, 81, 542 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 743, 460, 81, 542 is 1.

HCF(743, 460, 81, 542) = 1

HCF of 743, 460, 81, 542 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 743, 460, 81, 542 is 1.

Highest Common Factor of 743,460,81,542 using Euclid's algorithm

Highest Common Factor of 743,460,81,542 is 1

Step 1: Since 743 > 460, we apply the division lemma to 743 and 460, to get

743 = 460 x 1 + 283

Step 2: Since the reminder 460 ≠ 0, we apply division lemma to 283 and 460, to get

460 = 283 x 1 + 177

Step 3: We consider the new divisor 283 and the new remainder 177, and apply the division lemma to get

283 = 177 x 1 + 106

We consider the new divisor 177 and the new remainder 106,and apply the division lemma to get

177 = 106 x 1 + 71

We consider the new divisor 106 and the new remainder 71,and apply the division lemma to get

106 = 71 x 1 + 35

We consider the new divisor 71 and the new remainder 35,and apply the division lemma to get

71 = 35 x 2 + 1

We consider the new divisor 35 and the new remainder 1,and apply the division lemma to get

35 = 1 x 35 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 743 and 460 is 1

Notice that 1 = HCF(35,1) = HCF(71,35) = HCF(106,71) = HCF(177,106) = HCF(283,177) = HCF(460,283) = HCF(743,460) .

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

Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get

81 = 1 x 81 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1

Notice that 1 = HCF(81,1) .

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

Step 1: Since 542 > 1, we apply the division lemma to 542 and 1, to get

542 = 1 x 542 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 542 is 1

Notice that 1 = HCF(542,1) .

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Frequently Asked Questions on HCF of 743, 460, 81, 542 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 743, 460, 81, 542?

Answer: HCF of 743, 460, 81, 542 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 743, 460, 81, 542 using Euclid's Algorithm?

Answer: For arbitrary numbers 743, 460, 81, 542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.