Highest Common Factor of 501, 962, 289 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 501, 962, 289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 501, 962, 289 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 501, 962, 289 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 501, 962, 289 is 1.

HCF(501, 962, 289) = 1

HCF of 501, 962, 289 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 501, 962, 289 is 1.

Highest Common Factor of 501,962,289 using Euclid's algorithm

Highest Common Factor of 501,962,289 is 1

Step 1: Since 962 > 501, we apply the division lemma to 962 and 501, to get

962 = 501 x 1 + 461

Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 461 and 501, to get

501 = 461 x 1 + 40

Step 3: We consider the new divisor 461 and the new remainder 40, and apply the division lemma to get

461 = 40 x 11 + 21

We consider the new divisor 40 and the new remainder 21,and apply the division lemma to get

40 = 21 x 1 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 501 and 962 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(40,21) = HCF(461,40) = HCF(501,461) = HCF(962,501) .

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

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

289 = 1 x 289 + 0

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

Notice that 1 = HCF(289,1) .

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Frequently Asked Questions on HCF of 501, 962, 289 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 501, 962, 289?

Answer: HCF of 501, 962, 289 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 501, 962, 289 using Euclid's Algorithm?

Answer: For arbitrary numbers 501, 962, 289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.