Highest Common Factor of 733, 623, 269 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 733, 623, 269 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 733, 623, 269 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 733, 623, 269 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 733, 623, 269 is 1.

HCF(733, 623, 269) = 1

HCF of 733, 623, 269 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 733, 623, 269 is 1.

Highest Common Factor of 733,623,269 using Euclid's algorithm

Highest Common Factor of 733,623,269 is 1

Step 1: Since 733 > 623, we apply the division lemma to 733 and 623, to get

733 = 623 x 1 + 110

Step 2: Since the reminder 623 ≠ 0, we apply division lemma to 110 and 623, to get

623 = 110 x 5 + 73

Step 3: We consider the new divisor 110 and the new remainder 73, and apply the division lemma to get

110 = 73 x 1 + 37

We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get

73 = 37 x 1 + 36

We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get

37 = 36 x 1 + 1

We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get

36 = 1 x 36 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 733 and 623 is 1

Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(623,110) = HCF(733,623) .

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

Step 1: Since 269 > 1, we apply the division lemma to 269 and 1, to get

269 = 1 x 269 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 269 is 1

Notice that 1 = HCF(269,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 733, 623, 269 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 733, 623, 269?

Answer: HCF of 733, 623, 269 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 733, 623, 269 using Euclid's Algorithm?

Answer: For arbitrary numbers 733, 623, 269 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.