Highest Common Factor of 733, 6634, 4169 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, 6634, 4169 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 733, 6634, 4169 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, 6634, 4169 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, 6634, 4169 is 1.

HCF(733, 6634, 4169) = 1

HCF of 733, 6634, 4169 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, 6634, 4169 is 1.

Highest Common Factor of 733,6634,4169 using Euclid's algorithm

Highest Common Factor of 733,6634,4169 is 1

Step 1: Since 6634 > 733, we apply the division lemma to 6634 and 733, to get

6634 = 733 x 9 + 37

Step 2: Since the reminder 733 ≠ 0, we apply division lemma to 37 and 733, to get

733 = 37 x 19 + 30

Step 3: We consider the new divisor 37 and the new remainder 30, and apply the division lemma to get

37 = 30 x 1 + 7

We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get

30 = 7 x 4 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 733 and 6634 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(733,37) = HCF(6634,733) .

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

Step 1: Since 4169 > 1, we apply the division lemma to 4169 and 1, to get

4169 = 1 x 4169 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4169 is 1

Notice that 1 = HCF(4169,1) .

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Frequently Asked Questions on HCF of 733, 6634, 4169 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, 6634, 4169?

Answer: HCF of 733, 6634, 4169 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 733, 6634, 4169 using Euclid's Algorithm?

Answer: For arbitrary numbers 733, 6634, 4169 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.