Highest Common Factor of 641, 243, 482 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 641, 243, 482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 641, 243, 482 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 641, 243, 482 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 641, 243, 482 is 1.

HCF(641, 243, 482) = 1

HCF of 641, 243, 482 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 641, 243, 482 is 1.

Highest Common Factor of 641,243,482 using Euclid's algorithm

Highest Common Factor of 641,243,482 is 1

Step 1: Since 641 > 243, we apply the division lemma to 641 and 243, to get

641 = 243 x 2 + 155

Step 2: Since the reminder 243 ≠ 0, we apply division lemma to 155 and 243, to get

243 = 155 x 1 + 88

Step 3: We consider the new divisor 155 and the new remainder 88, and apply the division lemma to get

155 = 88 x 1 + 67

We consider the new divisor 88 and the new remainder 67,and apply the division lemma to get

88 = 67 x 1 + 21

We consider the new divisor 67 and the new remainder 21,and apply the division lemma to get

67 = 21 x 3 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 641 and 243 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(67,21) = HCF(88,67) = HCF(155,88) = HCF(243,155) = HCF(641,243) .

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

Step 1: Since 482 > 1, we apply the division lemma to 482 and 1, to get

482 = 1 x 482 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 482 is 1

Notice that 1 = HCF(482,1) .

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Frequently Asked Questions on HCF of 641, 243, 482 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 641, 243, 482?

Answer: HCF of 641, 243, 482 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 641, 243, 482 using Euclid's Algorithm?

Answer: For arbitrary numbers 641, 243, 482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.