Highest Common Factor of 784, 501, 202, 29 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 784, 501, 202, 29 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 784, 501, 202, 29 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 784, 501, 202, 29 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 784, 501, 202, 29 is 1.

HCF(784, 501, 202, 29) = 1

HCF of 784, 501, 202, 29 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 784, 501, 202, 29 is 1.

Highest Common Factor of 784,501,202,29 using Euclid's algorithm

Highest Common Factor of 784,501,202,29 is 1

Step 1: Since 784 > 501, we apply the division lemma to 784 and 501, to get

784 = 501 x 1 + 283

Step 2: Since the reminder 501 ≠ 0, we apply division lemma to 283 and 501, to get

501 = 283 x 1 + 218

Step 3: We consider the new divisor 283 and the new remainder 218, and apply the division lemma to get

283 = 218 x 1 + 65

We consider the new divisor 218 and the new remainder 65,and apply the division lemma to get

218 = 65 x 3 + 23

We consider the new divisor 65 and the new remainder 23,and apply the division lemma to get

65 = 23 x 2 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 784 and 501 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(65,23) = HCF(218,65) = HCF(283,218) = HCF(501,283) = HCF(784,501) .

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

Step 1: Since 202 > 1, we apply the division lemma to 202 and 1, to get

202 = 1 x 202 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 202 is 1

Notice that 1 = HCF(202,1) .

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

Step 1: Since 29 > 1, we apply the division lemma to 29 and 1, to get

29 = 1 x 29 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 29 is 1

Notice that 1 = HCF(29,1) .

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Frequently Asked Questions on HCF of 784, 501, 202, 29 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 784, 501, 202, 29?

Answer: HCF of 784, 501, 202, 29 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 784, 501, 202, 29 using Euclid's Algorithm?

Answer: For arbitrary numbers 784, 501, 202, 29 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.