Highest Common Factor of 486, 736, 411 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 486, 736, 411 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 486, 736, 411 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 486, 736, 411 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 486, 736, 411 is 1.

HCF(486, 736, 411) = 1

HCF of 486, 736, 411 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 486, 736, 411 is 1.

Highest Common Factor of 486,736,411 using Euclid's algorithm

Highest Common Factor of 486,736,411 is 1

Step 1: Since 736 > 486, we apply the division lemma to 736 and 486, to get

736 = 486 x 1 + 250

Step 2: Since the reminder 486 ≠ 0, we apply division lemma to 250 and 486, to get

486 = 250 x 1 + 236

Step 3: We consider the new divisor 250 and the new remainder 236, and apply the division lemma to get

250 = 236 x 1 + 14

We consider the new divisor 236 and the new remainder 14,and apply the division lemma to get

236 = 14 x 16 + 12

We consider the new divisor 14 and the new remainder 12,and apply the division lemma to get

14 = 12 x 1 + 2

We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get

12 = 2 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 486 and 736 is 2

Notice that 2 = HCF(12,2) = HCF(14,12) = HCF(236,14) = HCF(250,236) = HCF(486,250) = HCF(736,486) .

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

Step 1: Since 411 > 2, we apply the division lemma to 411 and 2, to get

411 = 2 x 205 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 411 is 1

Notice that 1 = HCF(2,1) = HCF(411,2) .

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Frequently Asked Questions on HCF of 486, 736, 411 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 486, 736, 411?

Answer: HCF of 486, 736, 411 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 486, 736, 411 using Euclid's Algorithm?

Answer: For arbitrary numbers 486, 736, 411 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.