Highest Common Factor of 793, 702, 441 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 793, 702, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 793, 702, 441 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 793, 702, 441 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 793, 702, 441 is 1.

HCF(793, 702, 441) = 1

HCF of 793, 702, 441 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 793, 702, 441 is 1.

Highest Common Factor of 793,702,441 using Euclid's algorithm

Highest Common Factor of 793,702,441 is 1

Step 1: Since 793 > 702, we apply the division lemma to 793 and 702, to get

793 = 702 x 1 + 91

Step 2: Since the reminder 702 ≠ 0, we apply division lemma to 91 and 702, to get

702 = 91 x 7 + 65

Step 3: We consider the new divisor 91 and the new remainder 65, and apply the division lemma to get

91 = 65 x 1 + 26

We consider the new divisor 65 and the new remainder 26,and apply the division lemma to get

65 = 26 x 2 + 13

We consider the new divisor 26 and the new remainder 13,and apply the division lemma to get

26 = 13 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 13, the HCF of 793 and 702 is 13

Notice that 13 = HCF(26,13) = HCF(65,26) = HCF(91,65) = HCF(702,91) = HCF(793,702) .

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

Step 1: Since 441 > 13, we apply the division lemma to 441 and 13, to get

441 = 13 x 33 + 12

Step 2: Since the reminder 13 ≠ 0, we apply division lemma to 12 and 13, to get

13 = 12 x 1 + 1

Step 3: We consider the new divisor 12 and the new remainder 1, and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 13 and 441 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(441,13) .

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Frequently Asked Questions on HCF of 793, 702, 441 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 793, 702, 441?

Answer: HCF of 793, 702, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 793, 702, 441 using Euclid's Algorithm?

Answer: For arbitrary numbers 793, 702, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.